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, 560, 29, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 560, 29, 137 is 1
GCD(987, 560, 29, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 560, 29, 137 is 1
GCD(987, 560, 29, 137) = 1
Given Input numbers are 987, 560, 29, 137
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 987, 560, 29, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 560, 29, 137 is 1.
Therefore, GCD of numbers 987, 560, 29, 137 is 1
Given Input Data is 987, 560, 29, 137
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 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 29 is 29
Prime Factorization of 137 is 137
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, 560) = 78960
GCD(987, 560) = ( 987 x 560 ) / 78960
GCD(987, 560) = 552720 / 78960
GCD(987, 560) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 29) = 203
GCD(7, 29) = ( 7 x 29 ) / 203
GCD(7, 29) = 203 / 203
GCD(7, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 987, 560, 29, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 560, 29, 137?
GCD of 987, 560, 29, 137 is 1
2. Where do I get the detailed procedure to find GCD of 987, 560, 29, 137?
You can find a detailed procedure to find GCD of 987, 560, 29, 137 on our page.
3. How to find GCD of 987, 560, 29, 137 on a calculator?
You can find the GCD of 987, 560, 29, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.