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, 959, 51, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 959, 51, 930 is 1
GCD(264, 959, 51, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 959, 51, 930 is 1
GCD(264, 959, 51, 930) = 1
Given Input numbers are 264, 959, 51, 930
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Greatest Common Divisior
We found the divisors of 264, 959, 51, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 959, 51, 930 is 1.
Therefore, GCD of numbers 264, 959, 51, 930 is 1
Given Input Data is 264, 959, 51, 930
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 959 is 7 x 137
Prime Factorization of 51 is 3 x 17
Prime Factorization of 930 is 2 x 3 x 5 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(264, 959) = 253176
GCD(264, 959) = ( 264 x 959 ) / 253176
GCD(264, 959) = 253176 / 253176
GCD(264, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 264, 959, 51, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 959, 51, 930?
GCD of 264, 959, 51, 930 is 1
2. Where do I get the detailed procedure to find GCD of 264, 959, 51, 930?
You can find a detailed procedure to find GCD of 264, 959, 51, 930 on our page.
3. How to find GCD of 264, 959, 51, 930 on a calculator?
You can find the GCD of 264, 959, 51, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.