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GCD of 131, 586, 61 Calculator

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


Online GCD Calculator is useful to find the GCD of 131, 586, 61 quickly. Get the easiest ways to solve the greatest common divisor of 131, 586, 61 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 131, 586, 61 with Factoring?

Given Input numbers are 131, 586, 61

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

Divisors of 131 :

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

1, 131

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61


GCD of numbers is the greatest common divisor

So, the GCD (131, 586, 61) = 1.

Find GCD of 131, 586, 61 using Prime Factorization

Given numbers are 131, 586, 61

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 586 are 2 x 293

Prime factors of 61 are 61

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

Steps to Calculate GCD of 131, 586, 61 using LCM Formula

Given numbers are 131, 586, 61

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

Apply this formula for all numbers.

Step1:

LCM(131, 586) = 76766

GCD(131, 586) = ( 131 x 586 ) / 76766

= 131 / 586

= 131


Step2:

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

= 1 / 61

= 1


So, Greatest Common Divisor of 131, 586, 61 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 131, 586, 61

Given numbers are 131, 586, 61
The greatest common divisor of numbers 131, 586, 61 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 586, 61 is 1.

FAQs on GCD of 131, 586, 61 Calculator

1. What is the GCD of 131, 586, 61?

GCD of given numbers 131, 586, 61 is 1


2. How to calculate the greatest common divisor of 131, 586, 61?

We can find the highest common divisor of 131, 586, 61 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 131, 586, 61 i.e 1.


3. How can I use the GCD of 131, 586, 61Calculator?

Out the numbers 131, 586, 61 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.