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GCD of 674, 872, 522, 952 Calculator

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


Online GCD Calculator is useful to find the GCD of 674, 872, 522, 952 quickly. Get the easiest ways to solve the greatest common divisor of 674, 872, 522, 952 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 674, 872, 522, 952 with Factoring?

Given Input numbers are 674, 872, 522, 952

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 (674, 872, 522, 952) = 2.

Find GCD of 674, 872, 522, 952 using Prime Factorization

Given numbers are 674, 872, 522, 952

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 522 are 2 x 3 x 3 x 29

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

The highest common occurrence is 21

Therefore, GCD of 674, 872, 522, 952 is 2.

Steps to Calculate GCD of 674, 872, 522, 952 using LCM Formula

Given numbers are 674, 872, 522, 952

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

Apply this formula for all numbers.

Step1:

LCM(674, 872) = 293864

GCD(674, 872) = ( 674 x 872 ) / 293864

= 674 / 872

= 674


Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2


Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2


So, Greatest Common Divisor of 674, 872, 522, 952 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 674, 872, 522, 952

Given numbers are 674, 872, 522, 952
The greatest common divisor of numbers 674, 872, 522, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 872, 522, 952 is 2.

FAQs on GCD of 674, 872, 522, 952 Calculator

1. What is the GCD of 674, 872, 522, 952?

GCD of given numbers 674, 872, 522, 952 is 2


2. How to calculate the greatest common divisor of 674, 872, 522, 952?

We can find the highest common divisor of 674, 872, 522, 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 674, 872, 522, 952 i.e 2.


3. How can I use the GCD of 674, 872, 522, 952Calculator?

Out the numbers 674, 872, 522, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.