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 58, 372, 284, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 372, 284, 157 is 1
GCD(58, 372, 284, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 372, 284, 157 is 1
GCD(58, 372, 284, 157) = 1
Given Input numbers are 58, 372, 284, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
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 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 58, 372, 284, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 372, 284, 157 is 1.
Therefore, GCD of numbers 58, 372, 284, 157 is 1
Given Input Data is 58, 372, 284, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 157 is 157
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(58, 372) = 10788
GCD(58, 372) = ( 58 x 372 ) / 10788
GCD(58, 372) = 21576 / 10788
GCD(58, 372) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
GCD(2, 284) = 568 / 284
GCD(2, 284) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
GCD(2, 157) = 314 / 314
GCD(2, 157) = 1
GCD of 58, 372, 284, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 372, 284, 157?
GCD of 58, 372, 284, 157 is 1
2. Where do I get the detailed procedure to find GCD of 58, 372, 284, 157?
You can find a detailed procedure to find GCD of 58, 372, 284, 157 on our page.
3. How to find GCD of 58, 372, 284, 157 on a calculator?
You can find the GCD of 58, 372, 284, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.