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 672, 318, 275, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 318, 275, 724 is 1
GCD(672, 318, 275, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 318, 275, 724 is 1
GCD(672, 318, 275, 724) = 1
Given Input numbers are 672, 318, 275, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 672, 318, 275, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 318, 275, 724 is 1.
Therefore, GCD of numbers 672, 318, 275, 724 is 1
Given Input Data is 672, 318, 275, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 724 is 2 x 2 x 181
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(672, 318) = 35616
GCD(672, 318) = ( 672 x 318 ) / 35616
GCD(672, 318) = 213696 / 35616
GCD(672, 318) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 275) = 1650
GCD(6, 275) = ( 6 x 275 ) / 1650
GCD(6, 275) = 1650 / 1650
GCD(6, 275) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
GCD of 672, 318, 275, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 318, 275, 724?
GCD of 672, 318, 275, 724 is 1
2. Where do I get the detailed procedure to find GCD of 672, 318, 275, 724?
You can find a detailed procedure to find GCD of 672, 318, 275, 724 on our page.
3. How to find GCD of 672, 318, 275, 724 on a calculator?
You can find the GCD of 672, 318, 275, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.