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GCD of 753, 772, 31 Calculator

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


Online GCD Calculator is useful to find the GCD of 753, 772, 31 quickly. Get the easiest ways to solve the greatest common divisor of 753, 772, 31 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 753, 772, 31 with Factoring?

Given Input numbers are 753, 772, 31

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31


GCD of numbers is the greatest common divisor

So, the GCD (753, 772, 31) = 1.

Find GCD of 753, 772, 31 using Prime Factorization

Given numbers are 753, 772, 31

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 772 are 2 x 2 x 193

Prime factors of 31 are 31

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

Steps to Calculate GCD of 753, 772, 31 using LCM Formula

Given numbers are 753, 772, 31

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

Apply this formula for all numbers.

Step1:

LCM(753, 772) = 581316

GCD(753, 772) = ( 753 x 772 ) / 581316

= 753 / 772

= 753


Step2:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1


So, Greatest Common Divisor of 753, 772, 31 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 753, 772, 31

Given numbers are 753, 772, 31
The greatest common divisor of numbers 753, 772, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 772, 31 is 1.

FAQs on GCD of 753, 772, 31 Calculator

1. What is the GCD of 753, 772, 31?

GCD of given numbers 753, 772, 31 is 1


2. How to calculate the greatest common divisor of 753, 772, 31?

We can find the highest common divisor of 753, 772, 31 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 753, 772, 31 i.e 1.


3. How can I use the GCD of 753, 772, 31Calculator?

Out the numbers 753, 772, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.