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 635, 232, 20, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 232, 20, 753 is 1
GCD(635, 232, 20, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 232, 20, 753 is 1
GCD(635, 232, 20, 753) = 1
Given Input numbers are 635, 232, 20, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 635, 232, 20, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 232, 20, 753 is 1.
Therefore, GCD of numbers 635, 232, 20, 753 is 1
Given Input Data is 635, 232, 20, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 753 is 3 x 251
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(635, 232) = 147320
GCD(635, 232) = ( 635 x 232 ) / 147320
GCD(635, 232) = 147320 / 147320
GCD(635, 232) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 635, 232, 20, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 232, 20, 753?
GCD of 635, 232, 20, 753 is 1
2. Where do I get the detailed procedure to find GCD of 635, 232, 20, 753?
You can find a detailed procedure to find GCD of 635, 232, 20, 753 on our page.
3. How to find GCD of 635, 232, 20, 753 on a calculator?
You can find the GCD of 635, 232, 20, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.