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 355, 577, 332, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 577, 332, 302 is 1
GCD(355, 577, 332, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 577, 332, 302 is 1
GCD(355, 577, 332, 302) = 1
Given Input numbers are 355, 577, 332, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
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 355, 577, 332, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 577, 332, 302 is 1.
Therefore, GCD of numbers 355, 577, 332, 302 is 1
Given Input Data is 355, 577, 332, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 577 is 577
Prime Factorization of 332 is 2 x 2 x 83
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(355, 577) = 204835
GCD(355, 577) = ( 355 x 577 ) / 204835
GCD(355, 577) = 204835 / 204835
GCD(355, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 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 355, 577, 332, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 577, 332, 302?
GCD of 355, 577, 332, 302 is 1
2. Where do I get the detailed procedure to find GCD of 355, 577, 332, 302?
You can find a detailed procedure to find GCD of 355, 577, 332, 302 on our page.
3. How to find GCD of 355, 577, 332, 302 on a calculator?
You can find the GCD of 355, 577, 332, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.