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 976, 656, 59, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 656, 59, 159 is 1
GCD(976, 656, 59, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 656, 59, 159 is 1
GCD(976, 656, 59, 159) = 1
Given Input numbers are 976, 656, 59, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 976, 656, 59, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 656, 59, 159 is 1.
Therefore, GCD of numbers 976, 656, 59, 159 is 1
Given Input Data is 976, 656, 59, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 59 is 59
Prime Factorization of 159 is 3 x 53
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(976, 656) = 40016
GCD(976, 656) = ( 976 x 656 ) / 40016
GCD(976, 656) = 640256 / 40016
GCD(976, 656) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 59) = 944
GCD(16, 59) = ( 16 x 59 ) / 944
GCD(16, 59) = 944 / 944
GCD(16, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 976, 656, 59, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 656, 59, 159?
GCD of 976, 656, 59, 159 is 1
2. Where do I get the detailed procedure to find GCD of 976, 656, 59, 159?
You can find a detailed procedure to find GCD of 976, 656, 59, 159 on our page.
3. How to find GCD of 976, 656, 59, 159 on a calculator?
You can find the GCD of 976, 656, 59, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.