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 50, 549, 852, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 549, 852, 997 is 1
GCD(50, 549, 852, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 549, 852, 997 is 1
GCD(50, 549, 852, 997) = 1
Given Input numbers are 50, 549, 852, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
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
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 50, 549, 852, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 549, 852, 997 is 1.
Therefore, GCD of numbers 50, 549, 852, 997 is 1
Given Input Data is 50, 549, 852, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 997 is 997
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(50, 549) = 27450
GCD(50, 549) = ( 50 x 549 ) / 27450
GCD(50, 549) = 27450 / 27450
GCD(50, 549) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 50, 549, 852, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 549, 852, 997?
GCD of 50, 549, 852, 997 is 1
2. Where do I get the detailed procedure to find GCD of 50, 549, 852, 997?
You can find a detailed procedure to find GCD of 50, 549, 852, 997 on our page.
3. How to find GCD of 50, 549, 852, 997 on a calculator?
You can find the GCD of 50, 549, 852, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.