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 542, 372, 89, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 372, 89, 652 is 1
GCD(542, 372, 89, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 372, 89, 652 is 1
GCD(542, 372, 89, 652) = 1
Given Input numbers are 542, 372, 89, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 542, 372, 89, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 372, 89, 652 is 1.
Therefore, GCD of numbers 542, 372, 89, 652 is 1
Given Input Data is 542, 372, 89, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 89 is 89
Prime Factorization of 652 is 2 x 2 x 163
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(542, 372) = 100812
GCD(542, 372) = ( 542 x 372 ) / 100812
GCD(542, 372) = 201624 / 100812
GCD(542, 372) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 542, 372, 89, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 372, 89, 652?
GCD of 542, 372, 89, 652 is 1
2. Where do I get the detailed procedure to find GCD of 542, 372, 89, 652?
You can find a detailed procedure to find GCD of 542, 372, 89, 652 on our page.
3. How to find GCD of 542, 372, 89, 652 on a calculator?
You can find the GCD of 542, 372, 89, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.