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GCD of 369, 546, 675, 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 369, 546, 675, 131 quickly. Get the easiest ways to solve the greatest common divisor of 369, 546, 675, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 546, 675, 131 with Factoring?

Given Input numbers are 369, 546, 675, 131

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 (369, 546, 675, 131) = 1.

Find GCD of 369, 546, 675, 131 using Prime Factorization

Given numbers are 369, 546, 675, 131

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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 369, 546, 675, 131 using LCM Formula

Given numbers are 369, 546, 675, 131

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

Apply this formula for all numbers.

Step1:

LCM(369, 546) = 67158

GCD(369, 546) = ( 369 x 546 ) / 67158

= 369 / 546

= 369


Step2:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3


Step3:

LCM(3, 131) = 393

GCD(3, 131) = ( 3 x 131 ) / 393

= 3 / 131

= 3


So, Greatest Common Divisor of 369, 546, 675, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 546, 675, 131

Given numbers are 369, 546, 675, 131
The greatest common divisor of numbers 369, 546, 675, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 546, 675, 131 is 1.

FAQs on GCD of 369, 546, 675, 131 Calculator

1. What is the GCD of 369, 546, 675, 131?

GCD of given numbers 369, 546, 675, 131 is 1


2. How to calculate the greatest common divisor of 369, 546, 675, 131?

We can find the highest common divisor of 369, 546, 675, 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 369, 546, 675, 131 i.e 1.


3. How can I use the GCD of 369, 546, 675, 131Calculator?

Out the numbers 369, 546, 675, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.