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GCD of 952, 658, 460 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 952, 658, 460 quickly. Get the easiest ways to solve the greatest common divisor of 952, 658, 460 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 952, 658, 460 with Factoring?

Given Input numbers are 952, 658, 460

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460


GCD of numbers is the greatest common divisor

So, the GCD (952, 658, 460) = 2.

Find GCD of 952, 658, 460 using Prime Factorization

Given numbers are 952, 658, 460

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 658 are 2 x 7 x 47

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 952, 658, 460 is 2.

Steps to Calculate GCD of 952, 658, 460 using LCM Formula

Given numbers are 952, 658, 460

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(952, 658) = 44744

GCD(952, 658) = ( 952 x 658 ) / 44744

= 952 / 658

= 952


Step2:

LCM(14, 460) = 3220

GCD(14, 460) = ( 14 x 460 ) / 3220

= 14 / 460

= 14


So, Greatest Common Divisor of 952, 658, 460 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 952, 658, 460

Given numbers are 952, 658, 460
The greatest common divisor of numbers 952, 658, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 658, 460 is 2.

FAQs on GCD of 952, 658, 460 Calculator

1. What is the GCD of 952, 658, 460?

GCD of given numbers 952, 658, 460 is 2


2. How to calculate the greatest common divisor of 952, 658, 460?

We can find the highest common divisor of 952, 658, 460 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, 658, 460 i.e 2.


3. How can I use the GCD of 952, 658, 460Calculator?

Out the numbers 952, 658, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.