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, 872, 63, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 872, 63, 853 is 1
GCD(756, 872, 63, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 872, 63, 853 is 1
GCD(756, 872, 63, 853) = 1
Given Input numbers are 756, 872, 63, 853
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 756, 872, 63, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 872, 63, 853 is 1.
Therefore, GCD of numbers 756, 872, 63, 853 is 1
Given Input Data is 756, 872, 63, 853
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 872 is 2 x 2 x 2 x 109
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 853 is 853
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, 872) = 164808
GCD(756, 872) = ( 756 x 872 ) / 164808
GCD(756, 872) = 659232 / 164808
GCD(756, 872) = 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 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 756, 872, 63, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 872, 63, 853?
GCD of 756, 872, 63, 853 is 1
2. Where do I get the detailed procedure to find GCD of 756, 872, 63, 853?
You can find a detailed procedure to find GCD of 756, 872, 63, 853 on our page.
3. How to find GCD of 756, 872, 63, 853 on a calculator?
You can find the GCD of 756, 872, 63, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.