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 635, 187, 76, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 187, 76, 542 is 1
GCD(635, 187, 76, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 187, 76, 542 is 1
GCD(635, 187, 76, 542) = 1
Given Input numbers are 635, 187, 76, 542
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 635, 187, 76, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 187, 76, 542 is 1.
Therefore, GCD of numbers 635, 187, 76, 542 is 1
Given Input Data is 635, 187, 76, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 187 is 11 x 17
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 542 is 2 x 271
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(635, 187) = 118745
GCD(635, 187) = ( 635 x 187 ) / 118745
GCD(635, 187) = 118745 / 118745
GCD(635, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
GCD of 635, 187, 76, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 187, 76, 542?
GCD of 635, 187, 76, 542 is 1
2. Where do I get the detailed procedure to find GCD of 635, 187, 76, 542?
You can find a detailed procedure to find GCD of 635, 187, 76, 542 on our page.
3. How to find GCD of 635, 187, 76, 542 on a calculator?
You can find the GCD of 635, 187, 76, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.