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GCD of 759, 427, 961 Calculator

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


Online GCD Calculator is useful to find the GCD of 759, 427, 961 quickly. Get the easiest ways to solve the greatest common divisor of 759, 427, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 759, 427, 961 with Factoring?

Given Input numbers are 759, 427, 961

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (759, 427, 961) = 1.

Find GCD of 759, 427, 961 using Prime Factorization

Given numbers are 759, 427, 961

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 427 are 7 x 61

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 759, 427, 961 using LCM Formula

Given numbers are 759, 427, 961

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

Apply this formula for all numbers.

Step1:

LCM(759, 427) = 324093

GCD(759, 427) = ( 759 x 427 ) / 324093

= 759 / 427

= 759


Step2:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


So, Greatest Common Divisor of 759, 427, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 759, 427, 961

Given numbers are 759, 427, 961
The greatest common divisor of numbers 759, 427, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 427, 961 is 1.

FAQs on GCD of 759, 427, 961 Calculator

1. What is the GCD of 759, 427, 961?

GCD of given numbers 759, 427, 961 is 1


2. How to calculate the greatest common divisor of 759, 427, 961?

We can find the highest common divisor of 759, 427, 961 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 759, 427, 961 i.e 1.


3. How can I use the GCD of 759, 427, 961Calculator?

Out the numbers 759, 427, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.