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GCD of 456, 665, 321, 371 Calculator

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


Online GCD Calculator is useful to find the GCD of 456, 665, 321, 371 quickly. Get the easiest ways to solve the greatest common divisor of 456, 665, 321, 371 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 456, 665, 321, 371 with Factoring?

Given Input numbers are 456, 665, 321, 371

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

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 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371


GCD of numbers is the greatest common divisor

So, the GCD (456, 665, 321, 371) = 1.

Find GCD of 456, 665, 321, 371 using Prime Factorization

Given numbers are 456, 665, 321, 371

The list of prime factors of all numbers are

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

Prime factors of 665 are 5 x 7 x 19

Prime factors of 321 are 3 x 107

Prime factors of 371 are 7 x 53

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

Steps to Calculate GCD of 456, 665, 321, 371 using LCM Formula

Given numbers are 456, 665, 321, 371

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

Apply this formula for all numbers.

Step1:

LCM(456, 665) = 15960

GCD(456, 665) = ( 456 x 665 ) / 15960

= 456 / 665

= 456


Step2:

LCM(19, 321) = 6099

GCD(19, 321) = ( 19 x 321 ) / 6099

= 19 / 321

= 19


Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1


So, Greatest Common Divisor of 456, 665, 321, 371 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 456, 665, 321, 371

Given numbers are 456, 665, 321, 371
The greatest common divisor of numbers 456, 665, 321, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 665, 321, 371 is 1.

FAQs on GCD of 456, 665, 321, 371 Calculator

1. What is the GCD of 456, 665, 321, 371?

GCD of given numbers 456, 665, 321, 371 is 1


2. How to calculate the greatest common divisor of 456, 665, 321, 371?

We can find the highest common divisor of 456, 665, 321, 371 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 456, 665, 321, 371 i.e 1.


3. How can I use the GCD of 456, 665, 321, 371Calculator?

Out the numbers 456, 665, 321, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.