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 51, 780, 964, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 780, 964, 359 is 1
GCD(51, 780, 964, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 780, 964, 359 is 1
GCD(51, 780, 964, 359) = 1
Given Input numbers are 51, 780, 964, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 51, 780, 964, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 780, 964, 359 is 1.
Therefore, GCD of numbers 51, 780, 964, 359 is 1
Given Input Data is 51, 780, 964, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 359 is 359
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(51, 780) = 13260
GCD(51, 780) = ( 51 x 780 ) / 13260
GCD(51, 780) = 39780 / 13260
GCD(51, 780) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 964) = 2892
GCD(3, 964) = ( 3 x 964 ) / 2892
GCD(3, 964) = 2892 / 2892
GCD(3, 964) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 51, 780, 964, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 780, 964, 359?
GCD of 51, 780, 964, 359 is 1
2. Where do I get the detailed procedure to find GCD of 51, 780, 964, 359?
You can find a detailed procedure to find GCD of 51, 780, 964, 359 on our page.
3. How to find GCD of 51, 780, 964, 359 on a calculator?
You can find the GCD of 51, 780, 964, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.