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 931, 538, 45, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 538, 45, 624 is 1
GCD(931, 538, 45, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 538, 45, 624 is 1
GCD(931, 538, 45, 624) = 1
Given Input numbers are 931, 538, 45, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
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
Greatest Common Divisior
We found the divisors of 931, 538, 45, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 538, 45, 624 is 1.
Therefore, GCD of numbers 931, 538, 45, 624 is 1
Given Input Data is 931, 538, 45, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 538 is 2 x 269
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(931, 538) = 500878
GCD(931, 538) = ( 931 x 538 ) / 500878
GCD(931, 538) = 500878 / 500878
GCD(931, 538) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 931, 538, 45, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 538, 45, 624?
GCD of 931, 538, 45, 624 is 1
2. Where do I get the detailed procedure to find GCD of 931, 538, 45, 624?
You can find a detailed procedure to find GCD of 931, 538, 45, 624 on our page.
3. How to find GCD of 931, 538, 45, 624 on a calculator?
You can find the GCD of 931, 538, 45, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.