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GCD of 975, 699, 791 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, 699, 791 quickly. Get the easiest ways to solve the greatest common divisor of 975, 699, 791 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 699, 791 with Factoring?

Given Input numbers are 975, 699, 791

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791


GCD of numbers is the greatest common divisor

So, the GCD (975, 699, 791) = 1.

Find GCD of 975, 699, 791 using Prime Factorization

Given numbers are 975, 699, 791

The list of prime factors of all numbers are

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

Prime factors of 699 are 3 x 233

Prime factors of 791 are 7 x 113

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

Steps to Calculate GCD of 975, 699, 791 using LCM Formula

Given numbers are 975, 699, 791

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

Apply this formula for all numbers.

Step1:

LCM(975, 699) = 227175

GCD(975, 699) = ( 975 x 699 ) / 227175

= 975 / 699

= 975


Step2:

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

= 3 / 791

= 3


So, Greatest Common Divisor of 975, 699, 791 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 699, 791

Given numbers are 975, 699, 791
The greatest common divisor of numbers 975, 699, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 699, 791 is 1.

FAQs on GCD of 975, 699, 791 Calculator

1. What is the GCD of 975, 699, 791?

GCD of given numbers 975, 699, 791 is 1


2. How to calculate the greatest common divisor of 975, 699, 791?

We can find the highest common divisor of 975, 699, 791 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, 699, 791 i.e 1.


3. How can I use the GCD of 975, 699, 791Calculator?

Out the numbers 975, 699, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.