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GCD of 360, 292, 547, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 292, 547, 331 quickly. Get the easiest ways to solve the greatest common divisor of 360, 292, 547, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 292, 547, 331 with Factoring?

Given Input numbers are 360, 292, 547, 331

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 547 :

The positive integer divisors of 547 that completely divides 547 are.

1, 547

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (360, 292, 547, 331) = 1.

Find GCD of 360, 292, 547, 331 using Prime Factorization

Given numbers are 360, 292, 547, 331

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 292 are 2 x 2 x 73

Prime factors of 547 are 547

Prime factors of 331 are 331

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

Steps to Calculate GCD of 360, 292, 547, 331 using LCM Formula

Given numbers are 360, 292, 547, 331

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

Apply this formula for all numbers.

Step1:

LCM(360, 292) = 26280

GCD(360, 292) = ( 360 x 292 ) / 26280

= 360 / 292

= 360


Step2:

LCM(4, 547) = 2188

GCD(4, 547) = ( 4 x 547 ) / 2188

= 4 / 547

= 4


Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


So, Greatest Common Divisor of 360, 292, 547, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 292, 547, 331

Given numbers are 360, 292, 547, 331
The greatest common divisor of numbers 360, 292, 547, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 292, 547, 331 is 1.

FAQs on GCD of 360, 292, 547, 331 Calculator

1. What is the GCD of 360, 292, 547, 331?

GCD of given numbers 360, 292, 547, 331 is 1


2. How to calculate the greatest common divisor of 360, 292, 547, 331?

We can find the highest common divisor of 360, 292, 547, 331 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 360, 292, 547, 331 i.e 1.


3. How can I use the GCD of 360, 292, 547, 331Calculator?

Out the numbers 360, 292, 547, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.