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, 618, 25, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 618, 25, 959 is 1
GCD(264, 618, 25, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 618, 25, 959 is 1
GCD(264, 618, 25, 959) = 1
Given Input numbers are 264, 618, 25, 959
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 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 264, 618, 25, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 618, 25, 959 is 1.
Therefore, GCD of numbers 264, 618, 25, 959 is 1
Given Input Data is 264, 618, 25, 959
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 618 is 2 x 3 x 103
Prime Factorization of 25 is 5 x 5
Prime Factorization of 959 is 7 x 137
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, 618) = 27192
GCD(264, 618) = ( 264 x 618 ) / 27192
GCD(264, 618) = 163152 / 27192
GCD(264, 618) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 25) = 150
GCD(6, 25) = ( 6 x 25 ) / 150
GCD(6, 25) = 150 / 150
GCD(6, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 264, 618, 25, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 618, 25, 959?
GCD of 264, 618, 25, 959 is 1
2. Where do I get the detailed procedure to find GCD of 264, 618, 25, 959?
You can find a detailed procedure to find GCD of 264, 618, 25, 959 on our page.
3. How to find GCD of 264, 618, 25, 959 on a calculator?
You can find the GCD of 264, 618, 25, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.