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 332, 504, 55, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 504, 55, 357 is 1
GCD(332, 504, 55, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 504, 55, 357 is 1
GCD(332, 504, 55, 357) = 1
Given Input numbers are 332, 504, 55, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
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 332, 504, 55, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 504, 55, 357 is 1.
Therefore, GCD of numbers 332, 504, 55, 357 is 1
Given Input Data is 332, 504, 55, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 55 is 5 x 11
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(332, 504) = 41832
GCD(332, 504) = ( 332 x 504 ) / 41832
GCD(332, 504) = 167328 / 41832
GCD(332, 504) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 55) = 220
GCD(4, 55) = ( 4 x 55 ) / 220
GCD(4, 55) = 220 / 220
GCD(4, 55) = 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 332, 504, 55, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 504, 55, 357?
GCD of 332, 504, 55, 357 is 1
2. Where do I get the detailed procedure to find GCD of 332, 504, 55, 357?
You can find a detailed procedure to find GCD of 332, 504, 55, 357 on our page.
3. How to find GCD of 332, 504, 55, 357 on a calculator?
You can find the GCD of 332, 504, 55, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.