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 787, 187, 921, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 187, 921, 360 is 1
GCD(787, 187, 921, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 187, 921, 360 is 1
GCD(787, 187, 921, 360) = 1
Given Input numbers are 787, 187, 921, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
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
Greatest Common Divisior
We found the divisors of 787, 187, 921, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 187, 921, 360 is 1.
Therefore, GCD of numbers 787, 187, 921, 360 is 1
Given Input Data is 787, 187, 921, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 187 is 11 x 17
Prime Factorization of 921 is 3 x 307
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(787, 187) = 147169
GCD(787, 187) = ( 787 x 187 ) / 147169
GCD(787, 187) = 147169 / 147169
GCD(787, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 787, 187, 921, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 187, 921, 360?
GCD of 787, 187, 921, 360 is 1
2. Where do I get the detailed procedure to find GCD of 787, 187, 921, 360?
You can find a detailed procedure to find GCD of 787, 187, 921, 360 on our page.
3. How to find GCD of 787, 187, 921, 360 on a calculator?
You can find the GCD of 787, 187, 921, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.