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 159, 711, 702, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 711, 702, 961 is 1
GCD(159, 711, 702, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 711, 702, 961 is 1
GCD(159, 711, 702, 961) = 1
Given Input numbers are 159, 711, 702, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 159, 711, 702, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 711, 702, 961 is 1.
Therefore, GCD of numbers 159, 711, 702, 961 is 1
Given Input Data is 159, 711, 702, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 961 is 31 x 31
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(159, 711) = 37683
GCD(159, 711) = ( 159 x 711 ) / 37683
GCD(159, 711) = 113049 / 37683
GCD(159, 711) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
GCD(3, 702) = 2106 / 702
GCD(3, 702) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 961) = 2883
GCD(3, 961) = ( 3 x 961 ) / 2883
GCD(3, 961) = 2883 / 2883
GCD(3, 961) = 1
GCD of 159, 711, 702, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 711, 702, 961?
GCD of 159, 711, 702, 961 is 1
2. Where do I get the detailed procedure to find GCD of 159, 711, 702, 961?
You can find a detailed procedure to find GCD of 159, 711, 702, 961 on our page.
3. How to find GCD of 159, 711, 702, 961 on a calculator?
You can find the GCD of 159, 711, 702, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.