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GCD of 975, 364, 428, 481 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 364, 428, 481 quickly. Get the easiest ways to solve the greatest common divisor of 975, 364, 428, 481 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 364, 428, 481 with Factoring?

Given Input numbers are 975, 364, 428, 481

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481


GCD of numbers is the greatest common divisor

So, the GCD (975, 364, 428, 481) = 1.

Find GCD of 975, 364, 428, 481 using Prime Factorization

Given numbers are 975, 364, 428, 481

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 481 are 13 x 37

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

Steps to Calculate GCD of 975, 364, 428, 481 using LCM Formula

Given numbers are 975, 364, 428, 481

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

Apply this formula for all numbers.

Step1:

LCM(975, 364) = 27300

GCD(975, 364) = ( 975 x 364 ) / 27300

= 975 / 364

= 975


Step2:

LCM(13, 428) = 5564

GCD(13, 428) = ( 13 x 428 ) / 5564

= 13 / 428

= 13


Step3:

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

= 1 / 481

= 1


So, Greatest Common Divisor of 975, 364, 428, 481 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 364, 428, 481

Given numbers are 975, 364, 428, 481
The greatest common divisor of numbers 975, 364, 428, 481 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 364, 428, 481 is 1.

FAQs on GCD of 975, 364, 428, 481 Calculator

1. What is the GCD of 975, 364, 428, 481?

GCD of given numbers 975, 364, 428, 481 is 1


2. How to calculate the greatest common divisor of 975, 364, 428, 481?

We can find the highest common divisor of 975, 364, 428, 481 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 975, 364, 428, 481 i.e 1.


3. How can I use the GCD of 975, 364, 428, 481Calculator?

Out the numbers 975, 364, 428, 481 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.