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 527, 988, 75, 627 i.e. 1 largest integer that divides all the numbers equally.
GCD of 527, 988, 75, 627 is 1
GCD(527, 988, 75, 627) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 527, 988, 75, 627 is 1
GCD(527, 988, 75, 627) = 1
Given Input numbers are 527, 988, 75, 627
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
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 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Greatest Common Divisior
We found the divisors of 527, 988, 75, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 988, 75, 627 is 1.
Therefore, GCD of numbers 527, 988, 75, 627 is 1
Given Input Data is 527, 988, 75, 627
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 527 is 17 x 31
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 627 is 3 x 11 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(527, 988) = 520676
GCD(527, 988) = ( 527 x 988 ) / 520676
GCD(527, 988) = 520676 / 520676
GCD(527, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 627) = 627
GCD(1, 627) = ( 1 x 627 ) / 627
GCD(1, 627) = 627 / 627
GCD(1, 627) = 1
GCD of 527, 988, 75, 627 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 527, 988, 75, 627?
GCD of 527, 988, 75, 627 is 1
2. Where do I get the detailed procedure to find GCD of 527, 988, 75, 627?
You can find a detailed procedure to find GCD of 527, 988, 75, 627 on our page.
3. How to find GCD of 527, 988, 75, 627 on a calculator?
You can find the GCD of 527, 988, 75, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.