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GCD of 654, 738, 936, 953 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 738, 936, 953 quickly. Get the easiest ways to solve the greatest common divisor of 654, 738, 936, 953 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 738, 936, 953 with Factoring?

Given Input numbers are 654, 738, 936, 953

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953


GCD of numbers is the greatest common divisor

So, the GCD (654, 738, 936, 953) = 1.

Find GCD of 654, 738, 936, 953 using Prime Factorization

Given numbers are 654, 738, 936, 953

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 953 are 953

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

Steps to Calculate GCD of 654, 738, 936, 953 using LCM Formula

Given numbers are 654, 738, 936, 953

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

Apply this formula for all numbers.

Step1:

LCM(654, 738) = 80442

GCD(654, 738) = ( 654 x 738 ) / 80442

= 654 / 738

= 654


Step2:

LCM(6, 936) = 936

GCD(6, 936) = ( 6 x 936 ) / 936

= 6 / 936

= 6


Step3:

LCM(6, 953) = 5718

GCD(6, 953) = ( 6 x 953 ) / 5718

= 6 / 953

= 6


So, Greatest Common Divisor of 654, 738, 936, 953 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 738, 936, 953

Given numbers are 654, 738, 936, 953
The greatest common divisor of numbers 654, 738, 936, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 738, 936, 953 is 1.

FAQs on GCD of 654, 738, 936, 953 Calculator

1. What is the GCD of 654, 738, 936, 953?

GCD of given numbers 654, 738, 936, 953 is 1


2. How to calculate the greatest common divisor of 654, 738, 936, 953?

We can find the highest common divisor of 654, 738, 936, 953 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 654, 738, 936, 953 i.e 1.


3. How can I use the GCD of 654, 738, 936, 953Calculator?

Out the numbers 654, 738, 936, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.