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GCD of 364, 358, 332, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 358, 332, 660 quickly. Get the easiest ways to solve the greatest common divisor of 364, 358, 332, 660 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 358, 332, 660 with Factoring?

Given Input numbers are 364, 358, 332, 660

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

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (364, 358, 332, 660) = 2.

Find GCD of 364, 358, 332, 660 using Prime Factorization

Given numbers are 364, 358, 332, 660

The list of prime factors of all numbers are

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

Prime factors of 358 are 2 x 179

Prime factors of 332 are 2 x 2 x 83

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 364, 358, 332, 660 is 2.

Steps to Calculate GCD of 364, 358, 332, 660 using LCM Formula

Given numbers are 364, 358, 332, 660

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

Apply this formula for all numbers.

Step1:

LCM(364, 358) = 65156

GCD(364, 358) = ( 364 x 358 ) / 65156

= 364 / 358

= 364


Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2


Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2


So, Greatest Common Divisor of 364, 358, 332, 660 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 358, 332, 660

Given numbers are 364, 358, 332, 660
The greatest common divisor of numbers 364, 358, 332, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 358, 332, 660 is 2.

FAQs on GCD of 364, 358, 332, 660 Calculator

1. What is the GCD of 364, 358, 332, 660?

GCD of given numbers 364, 358, 332, 660 is 2


2. How to calculate the greatest common divisor of 364, 358, 332, 660?

We can find the highest common divisor of 364, 358, 332, 660 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 364, 358, 332, 660 i.e 2.


3. How can I use the GCD of 364, 358, 332, 660Calculator?

Out the numbers 364, 358, 332, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.