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 524, 103, 827, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 103, 827, 987 is 1
GCD(524, 103, 827, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 103, 827, 987 is 1
GCD(524, 103, 827, 987) = 1
Given Input numbers are 524, 103, 827, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
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 524, 103, 827, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 103, 827, 987 is 1.
Therefore, GCD of numbers 524, 103, 827, 987 is 1
Given Input Data is 524, 103, 827, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 103 is 103
Prime Factorization of 827 is 827
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(524, 103) = 53972
GCD(524, 103) = ( 524 x 103 ) / 53972
GCD(524, 103) = 53972 / 53972
GCD(524, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 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 524, 103, 827, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 103, 827, 987?
GCD of 524, 103, 827, 987 is 1
2. Where do I get the detailed procedure to find GCD of 524, 103, 827, 987?
You can find a detailed procedure to find GCD of 524, 103, 827, 987 on our page.
3. How to find GCD of 524, 103, 827, 987 on a calculator?
You can find the GCD of 524, 103, 827, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.