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 57, 675, 426, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 675, 426, 238 is 1
GCD(57, 675, 426, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 675, 426, 238 is 1
GCD(57, 675, 426, 238) = 1
Given Input numbers are 57, 675, 426, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 57, 675, 426, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 675, 426, 238 is 1.
Therefore, GCD of numbers 57, 675, 426, 238 is 1
Given Input Data is 57, 675, 426, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 238 is 2 x 7 x 17
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(57, 675) = 12825
GCD(57, 675) = ( 57 x 675 ) / 12825
GCD(57, 675) = 38475 / 12825
GCD(57, 675) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
GCD(3, 426) = 1278 / 426
GCD(3, 426) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 238) = 714
GCD(3, 238) = ( 3 x 238 ) / 714
GCD(3, 238) = 714 / 714
GCD(3, 238) = 1
GCD of 57, 675, 426, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 675, 426, 238?
GCD of 57, 675, 426, 238 is 1
2. Where do I get the detailed procedure to find GCD of 57, 675, 426, 238?
You can find a detailed procedure to find GCD of 57, 675, 426, 238 on our page.
3. How to find GCD of 57, 675, 426, 238 on a calculator?
You can find the GCD of 57, 675, 426, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.