GCD of 952, 728, 462 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 952, 728, 462 quickly. Get the easiest ways to solve the greatest common divisor of 952, 728, 462 i.e 14 in different methods as follows.
Given Input numbers are 952, 728, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (952, 728, 462) = 14.
Given numbers are 952, 728, 462
The list of prime factors of all numbers are
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21 x 71
Therefore, GCD of 952, 728, 462 is 14.
Steps to Calculate GCD of 952, 728, 462 using LCM Formula
Given numbers are 952, 728, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 728) = 12376
GCD(952, 728) = ( 952 x 728 ) / 12376
= 952 / 728
= 952
Step2:
LCM(56, 462) = 1848
GCD(56, 462) = ( 56 x 462 ) / 1848
= 56 / 462
= 56
So, Greatest Common Divisor of 952, 728, 462 is 14
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 952, 728, 462
Given numbers are 952, 728, 462
The greatest common divisor of numbers 952, 728, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 728, 462 is 14.
FAQs on GCD of 952, 728, 462 Calculator
1. What is the GCD of 952, 728, 462?
GCD of given numbers 952, 728, 462 is 14
2. How to calculate the greatest common divisor of 952, 728, 462?
We can find the highest common divisor of 952, 728, 462 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 952, 728, 462 i.e 14.
3. How can I use the GCD of 952, 728, 462Calculator?
Out the numbers 952, 728, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.