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 15, 503, 970, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 503, 970, 878 is 1
GCD(15, 503, 970, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 503, 970, 878 is 1
GCD(15, 503, 970, 878) = 1
Given Input numbers are 15, 503, 970, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
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 15, 503, 970, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 503, 970, 878 is 1.
Therefore, GCD of numbers 15, 503, 970, 878 is 1
Given Input Data is 15, 503, 970, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 503 is 503
Prime Factorization of 970 is 2 x 5 x 97
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(15, 503) = 7545
GCD(15, 503) = ( 15 x 503 ) / 7545
GCD(15, 503) = 7545 / 7545
GCD(15, 503) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 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 15, 503, 970, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 503, 970, 878?
GCD of 15, 503, 970, 878 is 1
2. Where do I get the detailed procedure to find GCD of 15, 503, 970, 878?
You can find a detailed procedure to find GCD of 15, 503, 970, 878 on our page.
3. How to find GCD of 15, 503, 970, 878 on a calculator?
You can find the GCD of 15, 503, 970, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.