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 879, 156, 442, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 879, 156, 442, 767 is 1
GCD(879, 156, 442, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 879, 156, 442, 767 is 1
GCD(879, 156, 442, 767) = 1
Given Input numbers are 879, 156, 442, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 879, 156, 442, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 156, 442, 767 is 1.
Therefore, GCD of numbers 879, 156, 442, 767 is 1
Given Input Data is 879, 156, 442, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 879 is 3 x 293
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 767 is 13 x 59
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(879, 156) = 45708
GCD(879, 156) = ( 879 x 156 ) / 45708
GCD(879, 156) = 137124 / 45708
GCD(879, 156) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 442) = 1326
GCD(3, 442) = ( 3 x 442 ) / 1326
GCD(3, 442) = 1326 / 1326
GCD(3, 442) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 879, 156, 442, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 879, 156, 442, 767?
GCD of 879, 156, 442, 767 is 1
2. Where do I get the detailed procedure to find GCD of 879, 156, 442, 767?
You can find a detailed procedure to find GCD of 879, 156, 442, 767 on our page.
3. How to find GCD of 879, 156, 442, 767 on a calculator?
You can find the GCD of 879, 156, 442, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.