GCD of 71, 696, 941, 560 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, 696, 941, 560 i.e. 1 largest integer that divides all the numbers equally.

GCD of 71, 696, 941, 560 is 1

GCD(71, 696, 941, 560) = 1

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

GCD of

GCD of numbers 71, 696, 941, 560 is 1

GCD(71, 696, 941, 560) = 1

GCD of 71,696,941,560 Calculator

GCDof 71,696,941,560 is 1

Given Input numbers are 71, 696, 941, 560

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 71, 696, 941, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 696, 941, 560 is 1.

Therefore, GCD of numbers 71, 696, 941, 560 is 1

Finding GCD of 71, 696, 941, 560 using Prime Factorization

Given Input Data is 71, 696, 941, 560

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

Prime Factorization of 71 is 71

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 941 is 941

Prime Factorization of 560 is 2 x 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 71, 696, 941, 560 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, 696) = 49416

GCD(71, 696) = ( 71 x 696 ) / 49416

GCD(71, 696) = 49416 / 49416

GCD(71, 696) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 71, 696, 941, 560 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 71, 696, 941, 560

1. What is the GCD of 71, 696, 941, 560?

GCD of 71, 696, 941, 560 is 1


2. Where do I get the detailed procedure to find GCD of 71, 696, 941, 560?

You can find a detailed procedure to find GCD of 71, 696, 941, 560 on our page.


3. How to find GCD of 71, 696, 941, 560 on a calculator?

You can find the GCD of 71, 696, 941, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.