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GCD of 316, 864, 137, 709 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 864, 137, 709 quickly. Get the easiest ways to solve the greatest common divisor of 316, 864, 137, 709 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 864, 137, 709 with Factoring?

Given Input numbers are 316, 864, 137, 709

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709


GCD of numbers is the greatest common divisor

So, the GCD (316, 864, 137, 709) = 1.

Find GCD of 316, 864, 137, 709 using Prime Factorization

Given numbers are 316, 864, 137, 709

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 137 are 137

Prime factors of 709 are 709

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

Steps to Calculate GCD of 316, 864, 137, 709 using LCM Formula

Given numbers are 316, 864, 137, 709

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

Apply this formula for all numbers.

Step1:

LCM(316, 864) = 68256

GCD(316, 864) = ( 316 x 864 ) / 68256

= 316 / 864

= 316


Step2:

LCM(4, 137) = 548

GCD(4, 137) = ( 4 x 137 ) / 548

= 4 / 137

= 4


Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1


So, Greatest Common Divisor of 316, 864, 137, 709 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 864, 137, 709

Given numbers are 316, 864, 137, 709
The greatest common divisor of numbers 316, 864, 137, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 864, 137, 709 is 1.

FAQs on GCD of 316, 864, 137, 709 Calculator

1. What is the GCD of 316, 864, 137, 709?

GCD of given numbers 316, 864, 137, 709 is 1


2. How to calculate the greatest common divisor of 316, 864, 137, 709?

We can find the highest common divisor of 316, 864, 137, 709 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 316, 864, 137, 709 i.e 1.


3. How can I use the GCD of 316, 864, 137, 709Calculator?

Out the numbers 316, 864, 137, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.