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GCD of 276, 109, 456, 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 276, 109, 456, 331 quickly. Get the easiest ways to solve the greatest common divisor of 276, 109, 456, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 276, 109, 456, 331 with Factoring?

Given Input numbers are 276, 109, 456, 331

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (276, 109, 456, 331) = 1.

Find GCD of 276, 109, 456, 331 using Prime Factorization

Given numbers are 276, 109, 456, 331

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 109 are 109

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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 276, 109, 456, 331 using LCM Formula

Given numbers are 276, 109, 456, 331

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

Apply this formula for all numbers.

Step1:

LCM(276, 109) = 30084

GCD(276, 109) = ( 276 x 109 ) / 30084

= 276 / 109

= 276


Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1


Step3:

LCM(1, 331) = 331

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

= 1 / 331

= 1


So, Greatest Common Divisor of 276, 109, 456, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 276, 109, 456, 331

Given numbers are 276, 109, 456, 331
The greatest common divisor of numbers 276, 109, 456, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 109, 456, 331 is 1.

FAQs on GCD of 276, 109, 456, 331 Calculator

1. What is the GCD of 276, 109, 456, 331?

GCD of given numbers 276, 109, 456, 331 is 1


2. How to calculate the greatest common divisor of 276, 109, 456, 331?

We can find the highest common divisor of 276, 109, 456, 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 276, 109, 456, 331 i.e 1.


3. How can I use the GCD of 276, 109, 456, 331Calculator?

Out the numbers 276, 109, 456, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.