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GCD of 328, 952, 874, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 328, 952, 874, 676 quickly. Get the easiest ways to solve the greatest common divisor of 328, 952, 874, 676 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 328, 952, 874, 676 with Factoring?

Given Input numbers are 328, 952, 874, 676

In the factoring method, we have to find the divisors of all numbers

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676


GCD of numbers is the greatest common divisor

So, the GCD (328, 952, 874, 676) = 2.

Find GCD of 328, 952, 874, 676 using Prime Factorization

Given numbers are 328, 952, 874, 676

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 874 are 2 x 19 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 21

Therefore, GCD of 328, 952, 874, 676 is 2.

Steps to Calculate GCD of 328, 952, 874, 676 using LCM Formula

Given numbers are 328, 952, 874, 676

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

Apply this formula for all numbers.

Step1:

LCM(328, 952) = 39032

GCD(328, 952) = ( 328 x 952 ) / 39032

= 328 / 952

= 328


Step2:

LCM(8, 874) = 3496

GCD(8, 874) = ( 8 x 874 ) / 3496

= 8 / 874

= 8


Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2


So, Greatest Common Divisor of 328, 952, 874, 676 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 328, 952, 874, 676

Given numbers are 328, 952, 874, 676
The greatest common divisor of numbers 328, 952, 874, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 952, 874, 676 is 2.

FAQs on GCD of 328, 952, 874, 676 Calculator

1. What is the GCD of 328, 952, 874, 676?

GCD of given numbers 328, 952, 874, 676 is 2


2. How to calculate the greatest common divisor of 328, 952, 874, 676?

We can find the highest common divisor of 328, 952, 874, 676 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 328, 952, 874, 676 i.e 2.


3. How can I use the GCD of 328, 952, 874, 676Calculator?

Out the numbers 328, 952, 874, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.