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 359, 206, 132, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 206, 132, 634 is 1
GCD(359, 206, 132, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 206, 132, 634 is 1
GCD(359, 206, 132, 634) = 1
Given Input numbers are 359, 206, 132, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 359, 206, 132, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 206, 132, 634 is 1.
Therefore, GCD of numbers 359, 206, 132, 634 is 1
Given Input Data is 359, 206, 132, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 206 is 2 x 103
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 634 is 2 x 317
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(359, 206) = 73954
GCD(359, 206) = ( 359 x 206 ) / 73954
GCD(359, 206) = 73954 / 73954
GCD(359, 206) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 359, 206, 132, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 206, 132, 634?
GCD of 359, 206, 132, 634 is 1
2. Where do I get the detailed procedure to find GCD of 359, 206, 132, 634?
You can find a detailed procedure to find GCD of 359, 206, 132, 634 on our page.
3. How to find GCD of 359, 206, 132, 634 on a calculator?
You can find the GCD of 359, 206, 132, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.