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 987, 327, 56, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 327, 56, 139 is 1
GCD(987, 327, 56, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 327, 56, 139 is 1
GCD(987, 327, 56, 139) = 1
Given Input numbers are 987, 327, 56, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 987, 327, 56, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 327, 56, 139 is 1.
Therefore, GCD of numbers 987, 327, 56, 139 is 1
Given Input Data is 987, 327, 56, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 327 is 3 x 109
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 139 is 139
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(987, 327) = 107583
GCD(987, 327) = ( 987 x 327 ) / 107583
GCD(987, 327) = 322749 / 107583
GCD(987, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 56) = 168
GCD(3, 56) = ( 3 x 56 ) / 168
GCD(3, 56) = 168 / 168
GCD(3, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 987, 327, 56, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 327, 56, 139?
GCD of 987, 327, 56, 139 is 1
2. Where do I get the detailed procedure to find GCD of 987, 327, 56, 139?
You can find a detailed procedure to find GCD of 987, 327, 56, 139 on our page.
3. How to find GCD of 987, 327, 56, 139 on a calculator?
You can find the GCD of 987, 327, 56, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.