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GCD of 975, 427, 912, 380 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, 427, 912, 380 quickly. Get the easiest ways to solve the greatest common divisor of 975, 427, 912, 380 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 427, 912, 380 with Factoring?

Given Input numbers are 975, 427, 912, 380

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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


GCD of numbers is the greatest common divisor

So, the GCD (975, 427, 912, 380) = 1.

Find GCD of 975, 427, 912, 380 using Prime Factorization

Given numbers are 975, 427, 912, 380

The list of prime factors of all numbers are

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

Prime factors of 427 are 7 x 61

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

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

Steps to Calculate GCD of 975, 427, 912, 380 using LCM Formula

Given numbers are 975, 427, 912, 380

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

Apply this formula for all numbers.

Step1:

LCM(975, 427) = 416325

GCD(975, 427) = ( 975 x 427 ) / 416325

= 975 / 427

= 975


Step2:

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

= 1 / 912

= 1


Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1


So, Greatest Common Divisor of 975, 427, 912, 380 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 427, 912, 380

Given numbers are 975, 427, 912, 380
The greatest common divisor of numbers 975, 427, 912, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 427, 912, 380 is 1.

FAQs on GCD of 975, 427, 912, 380 Calculator

1. What is the GCD of 975, 427, 912, 380?

GCD of given numbers 975, 427, 912, 380 is 1


2. How to calculate the greatest common divisor of 975, 427, 912, 380?

We can find the highest common divisor of 975, 427, 912, 380 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, 427, 912, 380 i.e 1.


3. How can I use the GCD of 975, 427, 912, 380Calculator?

Out the numbers 975, 427, 912, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.