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 988, 100, 62, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 100, 62, 557 is 1
GCD(988, 100, 62, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 100, 62, 557 is 1
GCD(988, 100, 62, 557) = 1
Given Input numbers are 988, 100, 62, 557
To find the GCD of numbers using factoring list out all the divisors of each number
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 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 988, 100, 62, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 100, 62, 557 is 1.
Therefore, GCD of numbers 988, 100, 62, 557 is 1
Given Input Data is 988, 100, 62, 557
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 62 is 2 x 31
Prime Factorization of 557 is 557
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(988, 100) = 24700
GCD(988, 100) = ( 988 x 100 ) / 24700
GCD(988, 100) = 98800 / 24700
GCD(988, 100) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 62) = 124
GCD(4, 62) = ( 4 x 62 ) / 124
GCD(4, 62) = 248 / 124
GCD(4, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 557) = 1114
GCD(2, 557) = ( 2 x 557 ) / 1114
GCD(2, 557) = 1114 / 1114
GCD(2, 557) = 1
GCD of 988, 100, 62, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 100, 62, 557?
GCD of 988, 100, 62, 557 is 1
2. Where do I get the detailed procedure to find GCD of 988, 100, 62, 557?
You can find a detailed procedure to find GCD of 988, 100, 62, 557 on our page.
3. How to find GCD of 988, 100, 62, 557 on a calculator?
You can find the GCD of 988, 100, 62, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.