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 640, 484, 63, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 484, 63, 108 is 1
GCD(640, 484, 63, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 484, 63, 108 is 1
GCD(640, 484, 63, 108) = 1
Given Input numbers are 640, 484, 63, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 640, 484, 63, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 484, 63, 108 is 1.
Therefore, GCD of numbers 640, 484, 63, 108 is 1
Given Input Data is 640, 484, 63, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(640, 484) = 77440
GCD(640, 484) = ( 640 x 484 ) / 77440
GCD(640, 484) = 309760 / 77440
GCD(640, 484) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 640, 484, 63, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 484, 63, 108?
GCD of 640, 484, 63, 108 is 1
2. Where do I get the detailed procedure to find GCD of 640, 484, 63, 108?
You can find a detailed procedure to find GCD of 640, 484, 63, 108 on our page.
3. How to find GCD of 640, 484, 63, 108 on a calculator?
You can find the GCD of 640, 484, 63, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.