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, 637, 75, 966 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 637, 75, 966 is 1
GCD(756, 637, 75, 966) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 637, 75, 966 is 1
GCD(756, 637, 75, 966) = 1
Given Input numbers are 756, 637, 75, 966
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 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 756, 637, 75, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 637, 75, 966 is 1.
Therefore, GCD of numbers 756, 637, 75, 966 is 1
Given Input Data is 756, 637, 75, 966
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 637 is 7 x 7 x 13
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 966 is 2 x 3 x 7 x 23
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, 637) = 68796
GCD(756, 637) = ( 756 x 637 ) / 68796
GCD(756, 637) = 481572 / 68796
GCD(756, 637) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 75) = 525
GCD(7, 75) = ( 7 x 75 ) / 525
GCD(7, 75) = 525 / 525
GCD(7, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
GCD of 756, 637, 75, 966 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 637, 75, 966?
GCD of 756, 637, 75, 966 is 1
2. Where do I get the detailed procedure to find GCD of 756, 637, 75, 966?
You can find a detailed procedure to find GCD of 756, 637, 75, 966 on our page.
3. How to find GCD of 756, 637, 75, 966 on a calculator?
You can find the GCD of 756, 637, 75, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.