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GCD of 576, 968, 684, 370 Calculator

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


Online GCD Calculator is useful to find the GCD of 576, 968, 684, 370 quickly. Get the easiest ways to solve the greatest common divisor of 576, 968, 684, 370 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 576, 968, 684, 370 with Factoring?

Given Input numbers are 576, 968, 684, 370

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370


GCD of numbers is the greatest common divisor

So, the GCD (576, 968, 684, 370) = 2.

Find GCD of 576, 968, 684, 370 using Prime Factorization

Given numbers are 576, 968, 684, 370

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 21

Therefore, GCD of 576, 968, 684, 370 is 2.

Steps to Calculate GCD of 576, 968, 684, 370 using LCM Formula

Given numbers are 576, 968, 684, 370

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

Apply this formula for all numbers.

Step1:

LCM(576, 968) = 69696

GCD(576, 968) = ( 576 x 968 ) / 69696

= 576 / 968

= 576


Step2:

LCM(8, 684) = 1368

GCD(8, 684) = ( 8 x 684 ) / 1368

= 8 / 684

= 8


Step3:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4


So, Greatest Common Divisor of 576, 968, 684, 370 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 576, 968, 684, 370

Given numbers are 576, 968, 684, 370
The greatest common divisor of numbers 576, 968, 684, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 968, 684, 370 is 2.

FAQs on GCD of 576, 968, 684, 370 Calculator

1. What is the GCD of 576, 968, 684, 370?

GCD of given numbers 576, 968, 684, 370 is 2


2. How to calculate the greatest common divisor of 576, 968, 684, 370?

We can find the highest common divisor of 576, 968, 684, 370 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 576, 968, 684, 370 i.e 2.


3. How can I use the GCD of 576, 968, 684, 370Calculator?

Out the numbers 576, 968, 684, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.