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GCD of 975, 817, 675 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, 817, 675 quickly. Get the easiest ways to solve the greatest common divisor of 975, 817, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 817, 675 with Factoring?

Given Input numbers are 975, 817, 675

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 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (975, 817, 675) = 1.

Find GCD of 975, 817, 675 using Prime Factorization

Given numbers are 975, 817, 675

The list of prime factors of all numbers are

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

Prime factors of 817 are 19 x 43

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 975, 817, 675 using LCM Formula

Given numbers are 975, 817, 675

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

Apply this formula for all numbers.

Step1:

LCM(975, 817) = 796575

GCD(975, 817) = ( 975 x 817 ) / 796575

= 975 / 817

= 975


Step2:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1


So, Greatest Common Divisor of 975, 817, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 817, 675

Given numbers are 975, 817, 675
The greatest common divisor of numbers 975, 817, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 817, 675 is 1.

FAQs on GCD of 975, 817, 675 Calculator

1. What is the GCD of 975, 817, 675?

GCD of given numbers 975, 817, 675 is 1


2. How to calculate the greatest common divisor of 975, 817, 675?

We can find the highest common divisor of 975, 817, 675 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, 817, 675 i.e 1.


3. How can I use the GCD of 975, 817, 675Calculator?

Out the numbers 975, 817, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.