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 118, 756, 624, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 756, 624, 403 is 1
GCD(118, 756, 624, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 756, 624, 403 is 1
GCD(118, 756, 624, 403) = 1
Given Input numbers are 118, 756, 624, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
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 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 118, 756, 624, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 756, 624, 403 is 1.
Therefore, GCD of numbers 118, 756, 624, 403 is 1
Given Input Data is 118, 756, 624, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 403 is 13 x 31
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(118, 756) = 44604
GCD(118, 756) = ( 118 x 756 ) / 44604
GCD(118, 756) = 89208 / 44604
GCD(118, 756) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
GCD(2, 624) = 1248 / 624
GCD(2, 624) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
GCD(2, 403) = 806 / 806
GCD(2, 403) = 1
GCD of 118, 756, 624, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 756, 624, 403?
GCD of 118, 756, 624, 403 is 1
2. Where do I get the detailed procedure to find GCD of 118, 756, 624, 403?
You can find a detailed procedure to find GCD of 118, 756, 624, 403 on our page.
3. How to find GCD of 118, 756, 624, 403 on a calculator?
You can find the GCD of 118, 756, 624, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.