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, 901, 637, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 901, 637, 378 is 1
GCD(756, 901, 637, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 901, 637, 378 is 1
GCD(756, 901, 637, 378) = 1
Given Input numbers are 756, 901, 637, 378
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 756, 901, 637, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 901, 637, 378 is 1.
Therefore, GCD of numbers 756, 901, 637, 378 is 1
Given Input Data is 756, 901, 637, 378
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 901 is 17 x 53
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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, 901) = 681156
GCD(756, 901) = ( 756 x 901 ) / 681156
GCD(756, 901) = 681156 / 681156
GCD(756, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
GCD(1, 637) = 637 / 637
GCD(1, 637) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 756, 901, 637, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 901, 637, 378?
GCD of 756, 901, 637, 378 is 1
2. Where do I get the detailed procedure to find GCD of 756, 901, 637, 378?
You can find a detailed procedure to find GCD of 756, 901, 637, 378 on our page.
3. How to find GCD of 756, 901, 637, 378 on a calculator?
You can find the GCD of 756, 901, 637, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.