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GCD of 954, 540, 612, 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 954, 540, 612, 131 quickly. Get the easiest ways to solve the greatest common divisor of 954, 540, 612, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 954, 540, 612, 131 with Factoring?

Given Input numbers are 954, 540, 612, 131

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 (954, 540, 612, 131) = 1.

Find GCD of 954, 540, 612, 131 using Prime Factorization

Given numbers are 954, 540, 612, 131

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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 954, 540, 612, 131 using LCM Formula

Given numbers are 954, 540, 612, 131

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

Apply this formula for all numbers.

Step1:

LCM(954, 540) = 28620

GCD(954, 540) = ( 954 x 540 ) / 28620

= 954 / 540

= 954


Step2:

LCM(18, 612) = 612

GCD(18, 612) = ( 18 x 612 ) / 612

= 18 / 612

= 18


Step3:

LCM(18, 131) = 2358

GCD(18, 131) = ( 18 x 131 ) / 2358

= 18 / 131

= 18


So, Greatest Common Divisor of 954, 540, 612, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 954, 540, 612, 131

Given numbers are 954, 540, 612, 131
The greatest common divisor of numbers 954, 540, 612, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 540, 612, 131 is 1.

FAQs on GCD of 954, 540, 612, 131 Calculator

1. What is the GCD of 954, 540, 612, 131?

GCD of given numbers 954, 540, 612, 131 is 1


2. How to calculate the greatest common divisor of 954, 540, 612, 131?

We can find the highest common divisor of 954, 540, 612, 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 954, 540, 612, 131 i.e 1.


3. How can I use the GCD of 954, 540, 612, 131Calculator?

Out the numbers 954, 540, 612, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.