GCD of 971, 761, 280 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 971, 761, 280 i.e. 1 largest integer that divides all the numbers equally.

GCD of 971, 761, 280 is 1

GCD(971, 761, 280) = 1

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

GCD of

GCD of numbers 971, 761, 280 is 1

GCD(971, 761, 280) = 1

GCD of 971,761,280 Calculator

GCDof 971,761,280 is 1

Given Input numbers are 971, 761, 280

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 971, 761, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 761, 280 is 1.

Therefore, GCD of numbers 971, 761, 280 is 1

Finding GCD of 971, 761, 280 using Prime Factorization

Given Input Data is 971, 761, 280

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

Prime Factorization of 971 is 971

Prime Factorization of 761 is 761

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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

Finding GCD of 971, 761, 280 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(971, 761) = 738931

GCD(971, 761) = ( 971 x 761 ) / 738931

GCD(971, 761) = 738931 / 738931

GCD(971, 761) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 971, 761, 280 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 971, 761, 280

1. What is the GCD of 971, 761, 280?

GCD of 971, 761, 280 is 1


2. Where do I get the detailed procedure to find GCD of 971, 761, 280?

You can find a detailed procedure to find GCD of 971, 761, 280 on our page.


3. How to find GCD of 971, 761, 280 on a calculator?

You can find the GCD of 971, 761, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.