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 982, 915, 597, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 915, 597, 500 is 1
GCD(982, 915, 597, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 915, 597, 500 is 1
GCD(982, 915, 597, 500) = 1
Given Input numbers are 982, 915, 597, 500
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Greatest Common Divisior
We found the divisors of 982, 915, 597, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 915, 597, 500 is 1.
Therefore, GCD of numbers 982, 915, 597, 500 is 1
Given Input Data is 982, 915, 597, 500
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 597 is 3 x 199
Prime Factorization of 500 is 2 x 2 x 5 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(982, 915) = 898530
GCD(982, 915) = ( 982 x 915 ) / 898530
GCD(982, 915) = 898530 / 898530
GCD(982, 915) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 597) = 597
GCD(1, 597) = ( 1 x 597 ) / 597
GCD(1, 597) = 597 / 597
GCD(1, 597) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 982, 915, 597, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 915, 597, 500?
GCD of 982, 915, 597, 500 is 1
2. Where do I get the detailed procedure to find GCD of 982, 915, 597, 500?
You can find a detailed procedure to find GCD of 982, 915, 597, 500 on our page.
3. How to find GCD of 982, 915, 597, 500 on a calculator?
You can find the GCD of 982, 915, 597, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.