Where do I get the detailed procedure to find GCD of 977, 725, 749?

You can find a detailed procedure to find GCD of 977, 725, 749 on our page.

How to find GCD of 977, 725, 749 on a calculator?

You can find the GCD of 977, 725, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 977, 725, 749 Calculator

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

Online GCD Calculator is useful to find the GCD of 977, 725, 749 quickly. Get the easiest ways to solve the greatest common divisor of 977, 725, 749 i.e 1 in different methods as follows.

How to Find GCD of Numbers 977, 725, 749 with Factoring?

Given Input numbers are 977, 725, 749

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (977, 725, 749) = 1.

Find GCD of 977, 725, 749 using Prime Factorization

Given numbers are 977, 725, 749

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 725 are 5 x 5 x 29

Prime factors of 749 are 7 x 107

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

Steps to Calculate GCD of 977, 725, 749 using LCM Formula

Given numbers are 977, 725, 749

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

Apply this formula for all numbers.

Step1:

LCM(977, 725) = 708325

GCD(977, 725) = ( 977 x 725 ) / 708325

= 977 / 725

= 977

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 977, 725, 749 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 977, 725, 749

Given numbers are 977, 725, 749
The greatest common divisor of numbers 977, 725, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 725, 749 is 1.

FAQs on GCD of 977, 725, 749 Calculator

1. What is the GCD of 977, 725, 749?

GCD of given numbers 977, 725, 749 is 1

2. How to calculate the greatest common divisor of 977, 725, 749?

We can find the highest common divisor of 977, 725, 749 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 977, 725, 749 i.e 1.

3. How can I use the GCD of 977, 725, 749Calculator?

Out the numbers 977, 725, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.