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GCD of 364, 454, 251, 280 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 454, 251, 280 quickly. Get the easiest ways to solve the greatest common divisor of 364, 454, 251, 280 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 454, 251, 280 with Factoring?

Given Input numbers are 364, 454, 251, 280

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280


GCD of numbers is the greatest common divisor

So, the GCD (364, 454, 251, 280) = 1.

Find GCD of 364, 454, 251, 280 using Prime Factorization

Given numbers are 364, 454, 251, 280

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 454 are 2 x 227

Prime factors of 251 are 251

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 364, 454, 251, 280 using LCM Formula

Given numbers are 364, 454, 251, 280

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

Apply this formula for all numbers.

Step1:

LCM(364, 454) = 82628

GCD(364, 454) = ( 364 x 454 ) / 82628

= 364 / 454

= 364


Step2:

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

= 2 / 251

= 2


Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1


So, Greatest Common Divisor of 364, 454, 251, 280 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 454, 251, 280

Given numbers are 364, 454, 251, 280
The greatest common divisor of numbers 364, 454, 251, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 454, 251, 280 is 1.

FAQs on GCD of 364, 454, 251, 280 Calculator

1. What is the GCD of 364, 454, 251, 280?

GCD of given numbers 364, 454, 251, 280 is 1


2. How to calculate the greatest common divisor of 364, 454, 251, 280?

We can find the highest common divisor of 364, 454, 251, 280 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 364, 454, 251, 280 i.e 1.


3. How can I use the GCD of 364, 454, 251, 280Calculator?

Out the numbers 364, 454, 251, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.