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GCD of 738, 583, 716, 131 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 583, 716, 131 quickly. Get the easiest ways to solve the greatest common divisor of 738, 583, 716, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 583, 716, 131 with Factoring?

Given Input numbers are 738, 583, 716, 131

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

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 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131


GCD of numbers is the greatest common divisor

So, the GCD (738, 583, 716, 131) = 1.

Find GCD of 738, 583, 716, 131 using Prime Factorization

Given numbers are 738, 583, 716, 131

The list of prime factors of all numbers are

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

Prime factors of 583 are 11 x 53

Prime factors of 716 are 2 x 2 x 179

Prime factors of 131 are 131

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

Steps to Calculate GCD of 738, 583, 716, 131 using LCM Formula

Given numbers are 738, 583, 716, 131

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

Apply this formula for all numbers.

Step1:

LCM(738, 583) = 430254

GCD(738, 583) = ( 738 x 583 ) / 430254

= 738 / 583

= 738


Step2:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1


Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1


So, Greatest Common Divisor of 738, 583, 716, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 583, 716, 131

Given numbers are 738, 583, 716, 131
The greatest common divisor of numbers 738, 583, 716, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 583, 716, 131 is 1.

FAQs on GCD of 738, 583, 716, 131 Calculator

1. What is the GCD of 738, 583, 716, 131?

GCD of given numbers 738, 583, 716, 131 is 1


2. How to calculate the greatest common divisor of 738, 583, 716, 131?

We can find the highest common divisor of 738, 583, 716, 131 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 738, 583, 716, 131 i.e 1.


3. How can I use the GCD of 738, 583, 716, 131Calculator?

Out the numbers 738, 583, 716, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.