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 715, 837, 521, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 837, 521, 600 is 1
GCD(715, 837, 521, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 837, 521, 600 is 1
GCD(715, 837, 521, 600) = 1
Given Input numbers are 715, 837, 521, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
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
Greatest Common Divisior
We found the divisors of 715, 837, 521, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 837, 521, 600 is 1.
Therefore, GCD of numbers 715, 837, 521, 600 is 1
Given Input Data is 715, 837, 521, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 521 is 521
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 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(715, 837) = 598455
GCD(715, 837) = ( 715 x 837 ) / 598455
GCD(715, 837) = 598455 / 598455
GCD(715, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
Step3:
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
GCD of 715, 837, 521, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 837, 521, 600?
GCD of 715, 837, 521, 600 is 1
2. Where do I get the detailed procedure to find GCD of 715, 837, 521, 600?
You can find a detailed procedure to find GCD of 715, 837, 521, 600 on our page.
3. How to find GCD of 715, 837, 521, 600 on a calculator?
You can find the GCD of 715, 837, 521, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.