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, 988, 136, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 988, 136, 548 is 1
GCD(987, 988, 136, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 988, 136, 548 is 1
GCD(987, 988, 136, 548) = 1
Given Input numbers are 987, 988, 136, 548
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 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 987, 988, 136, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 988, 136, 548 is 1.
Therefore, GCD of numbers 987, 988, 136, 548 is 1
Given Input Data is 987, 988, 136, 548
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 988 is 2 x 2 x 13 x 19
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 548 is 2 x 2 x 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, 988) = 975156
GCD(987, 988) = ( 987 x 988 ) / 975156
GCD(987, 988) = 975156 / 975156
GCD(987, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 987, 988, 136, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 988, 136, 548?
GCD of 987, 988, 136, 548 is 1
2. Where do I get the detailed procedure to find GCD of 987, 988, 136, 548?
You can find a detailed procedure to find GCD of 987, 988, 136, 548 on our page.
3. How to find GCD of 987, 988, 136, 548 on a calculator?
You can find the GCD of 987, 988, 136, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.