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 157, 423, 57, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 423, 57, 302 is 1
GCD(157, 423, 57, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 423, 57, 302 is 1
GCD(157, 423, 57, 302) = 1
Given Input numbers are 157, 423, 57, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 157, 423, 57, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 423, 57, 302 is 1.
Therefore, GCD of numbers 157, 423, 57, 302 is 1
Given Input Data is 157, 423, 57, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 57 is 3 x 19
Prime Factorization of 302 is 2 x 151
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(157, 423) = 66411
GCD(157, 423) = ( 157 x 423 ) / 66411
GCD(157, 423) = 66411 / 66411
GCD(157, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 157, 423, 57, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 423, 57, 302?
GCD of 157, 423, 57, 302 is 1
2. Where do I get the detailed procedure to find GCD of 157, 423, 57, 302?
You can find a detailed procedure to find GCD of 157, 423, 57, 302 on our page.
3. How to find GCD of 157, 423, 57, 302 on a calculator?
You can find the GCD of 157, 423, 57, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.