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 961, 719, 70, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 719, 70, 131 is 1
GCD(961, 719, 70, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 719, 70, 131 is 1
GCD(961, 719, 70, 131) = 1
Given Input numbers are 961, 719, 70, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 961, 719, 70, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 719, 70, 131 is 1.
Therefore, GCD of numbers 961, 719, 70, 131 is 1
Given Input Data is 961, 719, 70, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 719 is 719
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 131 is 131
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(961, 719) = 690959
GCD(961, 719) = ( 961 x 719 ) / 690959
GCD(961, 719) = 690959 / 690959
GCD(961, 719) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 961, 719, 70, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 719, 70, 131?
GCD of 961, 719, 70, 131 is 1
2. Where do I get the detailed procedure to find GCD of 961, 719, 70, 131?
You can find a detailed procedure to find GCD of 961, 719, 70, 131 on our page.
3. How to find GCD of 961, 719, 70, 131 on a calculator?
You can find the GCD of 961, 719, 70, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.