GCD of 71, 425, 791, 977 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 71, 425, 791, 977 i.e. 1 largest integer that divides all the numbers equally.

GCD of 71, 425, 791, 977 is 1

GCD(71, 425, 791, 977) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 71, 425, 791, 977 is 1

GCD(71, 425, 791, 977) = 1

GCD of 71,425,791,977 Calculator

GCDof 71,425,791,977 is 1

Given Input numbers are 71, 425, 791, 977

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 71, 425, 791, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 425, 791, 977 is 1.

Therefore, GCD of numbers 71, 425, 791, 977 is 1

Finding GCD of 71, 425, 791, 977 using Prime Factorization

Given Input Data is 71, 425, 791, 977

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 71 is 71

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 791 is 7 x 113

Prime Factorization of 977 is 977

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

Finding GCD of 71, 425, 791, 977 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(71, 425) = 30175

GCD(71, 425) = ( 71 x 425 ) / 30175

GCD(71, 425) = 30175 / 30175

GCD(71, 425) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 71, 425, 791, 977 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 71, 425, 791, 977

1. What is the GCD of 71, 425, 791, 977?

GCD of 71, 425, 791, 977 is 1


2. Where do I get the detailed procedure to find GCD of 71, 425, 791, 977?

You can find a detailed procedure to find GCD of 71, 425, 791, 977 on our page.


3. How to find GCD of 71, 425, 791, 977 on a calculator?

You can find the GCD of 71, 425, 791, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.