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 264, 253, 652, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 253, 652, 758 is 1
GCD(264, 253, 652, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 253, 652, 758 is 1
GCD(264, 253, 652, 758) = 1
Given Input numbers are 264, 253, 652, 758
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 264, 253, 652, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 253, 652, 758 is 1.
Therefore, GCD of numbers 264, 253, 652, 758 is 1
Given Input Data is 264, 253, 652, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 253 is 11 x 23
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 758 is 2 x 379
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(264, 253) = 6072
GCD(264, 253) = ( 264 x 253 ) / 6072
GCD(264, 253) = 66792 / 6072
GCD(264, 253) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 652) = 7172
GCD(11, 652) = ( 11 x 652 ) / 7172
GCD(11, 652) = 7172 / 7172
GCD(11, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 264, 253, 652, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 253, 652, 758?
GCD of 264, 253, 652, 758 is 1
2. Where do I get the detailed procedure to find GCD of 264, 253, 652, 758?
You can find a detailed procedure to find GCD of 264, 253, 652, 758 on our page.
3. How to find GCD of 264, 253, 652, 758 on a calculator?
You can find the GCD of 264, 253, 652, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.