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GCD of 684, 354, 718, 957 Calculator

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


Online GCD Calculator is useful to find the GCD of 684, 354, 718, 957 quickly. Get the easiest ways to solve the greatest common divisor of 684, 354, 718, 957 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 354, 718, 957 with Factoring?

Given Input numbers are 684, 354, 718, 957

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

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957


GCD of numbers is the greatest common divisor

So, the GCD (684, 354, 718, 957) = 1.

Find GCD of 684, 354, 718, 957 using Prime Factorization

Given numbers are 684, 354, 718, 957

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 718 are 2 x 359

Prime factors of 957 are 3 x 11 x 29

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 684, 354, 718, 957 using LCM Formula

Given numbers are 684, 354, 718, 957

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

Apply this formula for all numbers.

Step1:

LCM(684, 354) = 40356

GCD(684, 354) = ( 684 x 354 ) / 40356

= 684 / 354

= 684


Step2:

LCM(6, 718) = 2154

GCD(6, 718) = ( 6 x 718 ) / 2154

= 6 / 718

= 6


Step3:

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

= 2 / 957

= 2


So, Greatest Common Divisor of 684, 354, 718, 957 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 354, 718, 957

Given numbers are 684, 354, 718, 957
The greatest common divisor of numbers 684, 354, 718, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 354, 718, 957 is 1.

FAQs on GCD of 684, 354, 718, 957 Calculator

1. What is the GCD of 684, 354, 718, 957?

GCD of given numbers 684, 354, 718, 957 is 1


2. How to calculate the greatest common divisor of 684, 354, 718, 957?

We can find the highest common divisor of 684, 354, 718, 957 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 684, 354, 718, 957 i.e 1.


3. How can I use the GCD of 684, 354, 718, 957Calculator?

Out the numbers 684, 354, 718, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.