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 756, 430, 31, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 430, 31, 640 is 1
GCD(756, 430, 31, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 430, 31, 640 is 1
GCD(756, 430, 31, 640) = 1
Given Input numbers are 756, 430, 31, 640
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
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
Greatest Common Divisior
We found the divisors of 756, 430, 31, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 430, 31, 640 is 1.
Therefore, GCD of numbers 756, 430, 31, 640 is 1
Given Input Data is 756, 430, 31, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 31 is 31
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(756, 430) = 162540
GCD(756, 430) = ( 756 x 430 ) / 162540
GCD(756, 430) = 325080 / 162540
GCD(756, 430) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 756, 430, 31, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 430, 31, 640?
GCD of 756, 430, 31, 640 is 1
2. Where do I get the detailed procedure to find GCD of 756, 430, 31, 640?
You can find a detailed procedure to find GCD of 756, 430, 31, 640 on our page.
3. How to find GCD of 756, 430, 31, 640 on a calculator?
You can find the GCD of 756, 430, 31, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.