GCD of 938, 462, 952 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 938, 462, 952 quickly. Get the easiest ways to solve the greatest common divisor of 938, 462, 952 i.e 14 in different methods as follows.
Given Input numbers are 938, 462, 952
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
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
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
GCD of numbers is the greatest common divisor
So, the GCD (938, 462, 952) = 14.
Given numbers are 938, 462, 952
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
The highest common occurrence is 21 x 71
Therefore, GCD of 938, 462, 952 is 14.
Steps to Calculate GCD of 938, 462, 952 using LCM Formula
Given numbers are 938, 462, 952
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 462) = 30954
GCD(938, 462) = ( 938 x 462 ) / 30954
= 938 / 462
= 938
Step2:
LCM(14, 952) = 952
GCD(14, 952) = ( 14 x 952 ) / 952
= 14 / 952
= 14
So, Greatest Common Divisor of 938, 462, 952 is 14
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 938, 462, 952
Given numbers are 938, 462, 952
The greatest common divisor of numbers 938, 462, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 462, 952 is 14.
FAQs on GCD of 938, 462, 952 Calculator
1. What is the GCD of 938, 462, 952?
GCD of given numbers 938, 462, 952 is 14
2. How to calculate the greatest common divisor of 938, 462, 952?
We can find the highest common divisor of 938, 462, 952 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 938, 462, 952 i.e 14.
3. How can I use the GCD of 938, 462, 952Calculator?
Out the numbers 938, 462, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.