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 472, 931, 74, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 931, 74, 279 is 1
GCD(472, 931, 74, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 931, 74, 279 is 1
GCD(472, 931, 74, 279) = 1
Given Input numbers are 472, 931, 74, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 472, 931, 74, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 931, 74, 279 is 1.
Therefore, GCD of numbers 472, 931, 74, 279 is 1
Given Input Data is 472, 931, 74, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 74 is 2 x 37
Prime Factorization of 279 is 3 x 3 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(472, 931) = 439432
GCD(472, 931) = ( 472 x 931 ) / 439432
GCD(472, 931) = 439432 / 439432
GCD(472, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 472, 931, 74, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 931, 74, 279?
GCD of 472, 931, 74, 279 is 1
2. Where do I get the detailed procedure to find GCD of 472, 931, 74, 279?
You can find a detailed procedure to find GCD of 472, 931, 74, 279 on our page.
3. How to find GCD of 472, 931, 74, 279 on a calculator?
You can find the GCD of 472, 931, 74, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.