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 748, 424, 72, 264 i.e. 4 largest integer that divides all the numbers equally.
GCD of 748, 424, 72, 264 is 4
GCD(748, 424, 72, 264) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 424, 72, 264 is 4
GCD(748, 424, 72, 264) = 4
Given Input numbers are 748, 424, 72, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 748, 424, 72, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 424, 72, 264 is 4.
Therefore, GCD of numbers 748, 424, 72, 264 is 4
Given Input Data is 748, 424, 72, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(748, 424) = 79288
GCD(748, 424) = ( 748 x 424 ) / 79288
GCD(748, 424) = 317152 / 79288
GCD(748, 424) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
GCD(4, 72) = 288 / 72
GCD(4, 72) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 264) = 264
GCD(4, 264) = ( 4 x 264 ) / 264
GCD(4, 264) = 1056 / 264
GCD(4, 264) = 4
GCD of 748, 424, 72, 264 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 424, 72, 264?
GCD of 748, 424, 72, 264 is 4
2. Where do I get the detailed procedure to find GCD of 748, 424, 72, 264?
You can find a detailed procedure to find GCD of 748, 424, 72, 264 on our page.
3. How to find GCD of 748, 424, 72, 264 on a calculator?
You can find the GCD of 748, 424, 72, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.