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GCD of 902, 456, 380, 379 Calculator

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


Online GCD Calculator is useful to find the GCD of 902, 456, 380, 379 quickly. Get the easiest ways to solve the greatest common divisor of 902, 456, 380, 379 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 902, 456, 380, 379 with Factoring?

Given Input numbers are 902, 456, 380, 379

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379


GCD of numbers is the greatest common divisor

So, the GCD (902, 456, 380, 379) = 1.

Find GCD of 902, 456, 380, 379 using Prime Factorization

Given numbers are 902, 456, 380, 379

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 379 are 379

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

Steps to Calculate GCD of 902, 456, 380, 379 using LCM Formula

Given numbers are 902, 456, 380, 379

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

Apply this formula for all numbers.

Step1:

LCM(902, 456) = 205656

GCD(902, 456) = ( 902 x 456 ) / 205656

= 902 / 456

= 902


Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2


Step3:

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

= 2 / 379

= 2


So, Greatest Common Divisor of 902, 456, 380, 379 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 902, 456, 380, 379

Given numbers are 902, 456, 380, 379
The greatest common divisor of numbers 902, 456, 380, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 456, 380, 379 is 1.

FAQs on GCD of 902, 456, 380, 379 Calculator

1. What is the GCD of 902, 456, 380, 379?

GCD of given numbers 902, 456, 380, 379 is 1


2. How to calculate the greatest common divisor of 902, 456, 380, 379?

We can find the highest common divisor of 902, 456, 380, 379 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 902, 456, 380, 379 i.e 1.


3. How can I use the GCD of 902, 456, 380, 379Calculator?

Out the numbers 902, 456, 380, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.