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 numbers 71, 696, 941, 560 is 1
GCD(71, 696, 941, 560) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.