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 119, 521, 318, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 521, 318, 357 is 1
GCD(119, 521, 318, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 521, 318, 357 is 1
GCD(119, 521, 318, 357) = 1
Given Input numbers are 119, 521, 318, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 119, 521, 318, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 521, 318, 357 is 1.
Therefore, GCD of numbers 119, 521, 318, 357 is 1
Given Input Data is 119, 521, 318, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 521 is 521
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 357 is 3 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(119, 521) = 61999
GCD(119, 521) = ( 119 x 521 ) / 61999
GCD(119, 521) = 61999 / 61999
GCD(119, 521) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 119, 521, 318, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 521, 318, 357?
GCD of 119, 521, 318, 357 is 1
2. Where do I get the detailed procedure to find GCD of 119, 521, 318, 357?
You can find a detailed procedure to find GCD of 119, 521, 318, 357 on our page.
3. How to find GCD of 119, 521, 318, 357 on a calculator?
You can find the GCD of 119, 521, 318, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.