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GCD of 930, 760, 961, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 930, 760, 961, 972 quickly. Get the easiest ways to solve the greatest common divisor of 930, 760, 961, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 930, 760, 961, 972 with Factoring?

Given Input numbers are 930, 760, 961, 972

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

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 961 :

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

1, 31, 961

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972


GCD of numbers is the greatest common divisor

So, the GCD (930, 760, 961, 972) = 1.

Find GCD of 930, 760, 961, 972 using Prime Factorization

Given numbers are 930, 760, 961, 972

The list of prime factors of all numbers are

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 961 are 31 x 31

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 930, 760, 961, 972 using LCM Formula

Given numbers are 930, 760, 961, 972

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

Apply this formula for all numbers.

Step1:

LCM(930, 760) = 70680

GCD(930, 760) = ( 930 x 760 ) / 70680

= 930 / 760

= 930


Step2:

LCM(10, 961) = 9610

GCD(10, 961) = ( 10 x 961 ) / 9610

= 10 / 961

= 10


Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


So, Greatest Common Divisor of 930, 760, 961, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 930, 760, 961, 972

Given numbers are 930, 760, 961, 972
The greatest common divisor of numbers 930, 760, 961, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 930, 760, 961, 972 is 1.

FAQs on GCD of 930, 760, 961, 972 Calculator

1. What is the GCD of 930, 760, 961, 972?

GCD of given numbers 930, 760, 961, 972 is 1


2. How to calculate the greatest common divisor of 930, 760, 961, 972?

We can find the highest common divisor of 930, 760, 961, 972 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 930, 760, 961, 972 i.e 1.


3. How can I use the GCD of 930, 760, 961, 972Calculator?

Out the numbers 930, 760, 961, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.