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 970, 503, 864, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 503, 864, 987 is 1
GCD(970, 503, 864, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 503, 864, 987 is 1
GCD(970, 503, 864, 987) = 1
Given Input numbers are 970, 503, 864, 987
To find the GCD of numbers using factoring list out all the divisors of each number
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 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 970, 503, 864, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 503, 864, 987 is 1.
Therefore, GCD of numbers 970, 503, 864, 987 is 1
Given Input Data is 970, 503, 864, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 503 is 503
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 987 is 3 x 7 x 47
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(970, 503) = 487910
GCD(970, 503) = ( 970 x 503 ) / 487910
GCD(970, 503) = 487910 / 487910
GCD(970, 503) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 970, 503, 864, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 503, 864, 987?
GCD of 970, 503, 864, 987 is 1
2. Where do I get the detailed procedure to find GCD of 970, 503, 864, 987?
You can find a detailed procedure to find GCD of 970, 503, 864, 987 on our page.
3. How to find GCD of 970, 503, 864, 987 on a calculator?
You can find the GCD of 970, 503, 864, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.