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 307, 987, 825, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 987, 825, 852 is 1
GCD(307, 987, 825, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 987, 825, 852 is 1
GCD(307, 987, 825, 852) = 1
Given Input numbers are 307, 987, 825, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 307, 987, 825, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 987, 825, 852 is 1.
Therefore, GCD of numbers 307, 987, 825, 852 is 1
Given Input Data is 307, 987, 825, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(307, 987) = 303009
GCD(307, 987) = ( 307 x 987 ) / 303009
GCD(307, 987) = 303009 / 303009
GCD(307, 987) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 307, 987, 825, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 987, 825, 852?
GCD of 307, 987, 825, 852 is 1
2. Where do I get the detailed procedure to find GCD of 307, 987, 825, 852?
You can find a detailed procedure to find GCD of 307, 987, 825, 852 on our page.
3. How to find GCD of 307, 987, 825, 852 on a calculator?
You can find the GCD of 307, 987, 825, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.