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 360, 931, 78, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 931, 78, 650 is 1
GCD(360, 931, 78, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 931, 78, 650 is 1
GCD(360, 931, 78, 650) = 1
Given Input numbers are 360, 931, 78, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 360, 931, 78, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 931, 78, 650 is 1.
Therefore, GCD of numbers 360, 931, 78, 650 is 1
Given Input Data is 360, 931, 78, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 650 is 2 x 5 x 5 x 13
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(360, 931) = 335160
GCD(360, 931) = ( 360 x 931 ) / 335160
GCD(360, 931) = 335160 / 335160
GCD(360, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 360, 931, 78, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 931, 78, 650?
GCD of 360, 931, 78, 650 is 1
2. Where do I get the detailed procedure to find GCD of 360, 931, 78, 650?
You can find a detailed procedure to find GCD of 360, 931, 78, 650 on our page.
3. How to find GCD of 360, 931, 78, 650 on a calculator?
You can find the GCD of 360, 931, 78, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.