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GCD of 972, 796, 745, 625 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 796, 745, 625 quickly. Get the easiest ways to solve the greatest common divisor of 972, 796, 745, 625 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 796, 745, 625 with Factoring?

Given Input numbers are 972, 796, 745, 625

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

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625


GCD of numbers is the greatest common divisor

So, the GCD (972, 796, 745, 625) = 1.

Find GCD of 972, 796, 745, 625 using Prime Factorization

Given numbers are 972, 796, 745, 625

The list of prime factors of all numbers are

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

Prime factors of 796 are 2 x 2 x 199

Prime factors of 745 are 5 x 149

Prime factors of 625 are 5 x 5 x 5 x 5

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

Steps to Calculate GCD of 972, 796, 745, 625 using LCM Formula

Given numbers are 972, 796, 745, 625

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

Apply this formula for all numbers.

Step1:

LCM(972, 796) = 193428

GCD(972, 796) = ( 972 x 796 ) / 193428

= 972 / 796

= 972


Step2:

LCM(4, 745) = 2980

GCD(4, 745) = ( 4 x 745 ) / 2980

= 4 / 745

= 4


Step3:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1


So, Greatest Common Divisor of 972, 796, 745, 625 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 796, 745, 625

Given numbers are 972, 796, 745, 625
The greatest common divisor of numbers 972, 796, 745, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 796, 745, 625 is 1.

FAQs on GCD of 972, 796, 745, 625 Calculator

1. What is the GCD of 972, 796, 745, 625?

GCD of given numbers 972, 796, 745, 625 is 1


2. How to calculate the greatest common divisor of 972, 796, 745, 625?

We can find the highest common divisor of 972, 796, 745, 625 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 972, 796, 745, 625 i.e 1.


3. How can I use the GCD of 972, 796, 745, 625Calculator?

Out the numbers 972, 796, 745, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.