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 357, 130, 635, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 130, 635, 205 is 1
GCD(357, 130, 635, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 130, 635, 205 is 1
GCD(357, 130, 635, 205) = 1
Given Input numbers are 357, 130, 635, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 357, 130, 635, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 130, 635, 205 is 1.
Therefore, GCD of numbers 357, 130, 635, 205 is 1
Given Input Data is 357, 130, 635, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 635 is 5 x 127
Prime Factorization of 205 is 5 x 41
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(357, 130) = 46410
GCD(357, 130) = ( 357 x 130 ) / 46410
GCD(357, 130) = 46410 / 46410
GCD(357, 130) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
GCD of 357, 130, 635, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 130, 635, 205?
GCD of 357, 130, 635, 205 is 1
2. Where do I get the detailed procedure to find GCD of 357, 130, 635, 205?
You can find a detailed procedure to find GCD of 357, 130, 635, 205 on our page.
3. How to find GCD of 357, 130, 635, 205 on a calculator?
You can find the GCD of 357, 130, 635, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.