If the lcm and hcf of two numbers are equal
WebHCF and LCM of two numbers can be same only if two numbers are equal. Hence their difference will be zero. Let a and b two positive integers. Then gcd (a,b) is a common … WebIf the LCM of two numbers is equal to their product then their HCF is A 4 B 1 C -3 D 2 Easy Solution Verified by Toppr Correct option is B) Let the two numbers are x and y Then product of them =xy= LCM of number We know that Product of two numbers = Product of their H.C.F. and L.C.M Then HCF= xyxy=1 Was this answer helpful? 0 0 Similar questions
If the lcm and hcf of two numbers are equal
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Web7 apr. 2024 · If A and B are two numbers, then the product of HCF and LCM of two numbers equals the product of the two numbers, according to the formula. H.C.F. (A,B) x L.C.M. (A,B) = A x B We can also write LCM and HCF formulas in terms of HCF and LCM, such as: HCF of two numbers = Product of two numbers LCM of two numbers LCM … WebThe LCM and HCF of two rational numbers are equal, then the numbers must be (a) prime (b) co-prime (c) composite (d) equal Solution Let the two numbers be a and b. (a) If we assume that the a and b are prime. Then, HCF (a,b) =1 LCM (a,b) =ab (b) If we …
Web10 feb. 2024 · Q: HCF and LCM of two numbers are same. Find the difference between the two numbers. solution: HCF and LCM of two numbers can be same only if two … WebLet y be the other number. We know that the product of the two numbers is equal to the product of the HCF and LCM of the numbers. So, 250 y=750 125. 250y=93750. y=375. …
WebThe Lcm and Hcf of Two Rational Numbers Are Equal, Then the Numbers Must Be . CBSE English Medium Class 10. Question Papers 939. Textbook Solutions 33590. MCQ … WebHCF + LCM = 592 LCM - HCF = 518 Sum of two numbers = 296 Formula Used: a × b = HCF × LCM Calculation: LCM + HCF = 592 .............. (1) LCM - HCF = 518 .............. (2) …
WebThe HCF and LCM of two numbers are 9 and 360 respectively. If one number is 45, find the other number. Medium Solution Verified by Toppr We know that HCF × LCM=product of two numbers Given that HCF =9 and LCM =360 One number =45 Let second no. be x 9×360=45×x x= 459×360=9×8=72 ∴ Other number =72 Was this answer helpful? 0 0 …
Web30 mei 2024 · (b) LCM of two number = 1200 Their HCF of these two numbers will be the factor of 1200 500 cannot be its HCF Question 3. If n = 2 3 x 3 4 x 4 4 x 7, then the number of consecutive zeroes in n, where n is a natural number, is (a) 2 (b) 3 (c) 4 (d) 7 Solution: (c) Because it has four factors n = 2 3 x 3 4 x 4 4 x 7 It has 4 zeroes Question 4. gb 23727—2009WebWhat will be the two numbers if their LCM and HCF are equal? Let the two numbers be x and y A/C, HCF (x,y) = LCM (x,y) = k (say) Since HCF (x,y) = k, x = kn y = km, for some natural numbers m,n We know, HCF × LCM = Product of the two numbers Therefore, k^2 = km × kn Implies, mn = 1 Implies, m = n = 1, since m,n are natural numbers Therefore, gb 23723.4WebThen HCF of those two numbers = 20x. From the given condition, x + 20x = 2520. ⇒ 21x = 2520. ⇒ 120. ∴ HCF of those two number is 120. And LCM of those two numbers is 20 × 120. Now, one number is 480. Let, another number is y. gb 23809gb 23821WebCalculating the H.C.F. Calculating the L.C.M. Product of two numbers is equal to HCF and lcm. The H.C.F is also known as the Highest Common Factor for any two given … gb 23864Web24 sep. 2024 · How do you find HCF when given LCM? The formula that shows the relationship between their LCM and HCF is: LCM (a,b) × HCF (a,b) = a × b. For … autoimmunenzephalitis hashimotoWebThe 2 numbers will be equal. Yes, for example: 50,50 => LCM and HCF will both be 50. 100,100 => LCM and HCF will both be 100. Edit: This will be true for all integers except … gb 23905