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GCD of 674, 132, 364, 710 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, 132, 364, 710 quickly. Get the easiest ways to solve the greatest common divisor of 674, 132, 364, 710 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 674, 132, 364, 710 with Factoring?

Given Input numbers are 674, 132, 364, 710

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710


GCD of numbers is the greatest common divisor

So, the GCD (674, 132, 364, 710) = 2.

Find GCD of 674, 132, 364, 710 using Prime Factorization

Given numbers are 674, 132, 364, 710

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 21

Therefore, GCD of 674, 132, 364, 710 is 2.

Steps to Calculate GCD of 674, 132, 364, 710 using LCM Formula

Given numbers are 674, 132, 364, 710

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

Apply this formula for all numbers.

Step1:

LCM(674, 132) = 44484

GCD(674, 132) = ( 674 x 132 ) / 44484

= 674 / 132

= 674


Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2


Step3:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2


So, Greatest Common Divisor of 674, 132, 364, 710 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 674, 132, 364, 710

Given numbers are 674, 132, 364, 710
The greatest common divisor of numbers 674, 132, 364, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 132, 364, 710 is 2.

FAQs on GCD of 674, 132, 364, 710 Calculator

1. What is the GCD of 674, 132, 364, 710?

GCD of given numbers 674, 132, 364, 710 is 2


2. How to calculate the greatest common divisor of 674, 132, 364, 710?

We can find the highest common divisor of 674, 132, 364, 710 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, 132, 364, 710 i.e 2.


3. How can I use the GCD of 674, 132, 364, 710Calculator?

Out the numbers 674, 132, 364, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.