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, 780, 64, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 780, 64, 321 is 1
GCD(635, 780, 64, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 780, 64, 321 is 1
GCD(635, 780, 64, 321) = 1
Given Input numbers are 635, 780, 64, 321
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 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 635, 780, 64, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 780, 64, 321 is 1.
Therefore, GCD of numbers 635, 780, 64, 321 is 1
Given Input Data is 635, 780, 64, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 321 is 3 x 107
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, 780) = 99060
GCD(635, 780) = ( 635 x 780 ) / 99060
GCD(635, 780) = 495300 / 99060
GCD(635, 780) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 64) = 320
GCD(5, 64) = ( 5 x 64 ) / 320
GCD(5, 64) = 320 / 320
GCD(5, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 635, 780, 64, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 780, 64, 321?
GCD of 635, 780, 64, 321 is 1
2. Where do I get the detailed procedure to find GCD of 635, 780, 64, 321?
You can find a detailed procedure to find GCD of 635, 780, 64, 321 on our page.
3. How to find GCD of 635, 780, 64, 321 on a calculator?
You can find the GCD of 635, 780, 64, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.