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 717, 140, 600, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 717, 140, 600, 878 is 1
GCD(717, 140, 600, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 717, 140, 600, 878 is 1
GCD(717, 140, 600, 878) = 1
Given Input numbers are 717, 140, 600, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 717, 140, 600, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 140, 600, 878 is 1.
Therefore, GCD of numbers 717, 140, 600, 878 is 1
Given Input Data is 717, 140, 600, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 717 is 3 x 239
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 878 is 2 x 439
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(717, 140) = 100380
GCD(717, 140) = ( 717 x 140 ) / 100380
GCD(717, 140) = 100380 / 100380
GCD(717, 140) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 717, 140, 600, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 717, 140, 600, 878?
GCD of 717, 140, 600, 878 is 1
2. Where do I get the detailed procedure to find GCD of 717, 140, 600, 878?
You can find a detailed procedure to find GCD of 717, 140, 600, 878 on our page.
3. How to find GCD of 717, 140, 600, 878 on a calculator?
You can find the GCD of 717, 140, 600, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.