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 556, 536, 131, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 556, 536, 131, 988 is 1
GCD(556, 536, 131, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 556, 536, 131, 988 is 1
GCD(556, 536, 131, 988) = 1
Given Input numbers are 556, 536, 131, 988
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
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
Greatest Common Divisior
We found the divisors of 556, 536, 131, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 536, 131, 988 is 1.
Therefore, GCD of numbers 556, 536, 131, 988 is 1
Given Input Data is 556, 536, 131, 988
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 131 is 131
Prime Factorization of 988 is 2 x 2 x 13 x 19
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(556, 536) = 74504
GCD(556, 536) = ( 556 x 536 ) / 74504
GCD(556, 536) = 298016 / 74504
GCD(556, 536) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 131) = 524
GCD(4, 131) = ( 4 x 131 ) / 524
GCD(4, 131) = 524 / 524
GCD(4, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
GCD of 556, 536, 131, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 556, 536, 131, 988?
GCD of 556, 536, 131, 988 is 1
2. Where do I get the detailed procedure to find GCD of 556, 536, 131, 988?
You can find a detailed procedure to find GCD of 556, 536, 131, 988 on our page.
3. How to find GCD of 556, 536, 131, 988 on a calculator?
You can find the GCD of 556, 536, 131, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.