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 237, 574, 39, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 237, 574, 39, 997 is 1
GCD(237, 574, 39, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 574, 39, 997 is 1
GCD(237, 574, 39, 997) = 1
Given Input numbers are 237, 574, 39, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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 237, 574, 39, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 574, 39, 997 is 1.
Therefore, GCD of numbers 237, 574, 39, 997 is 1
Given Input Data is 237, 574, 39, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 39 is 3 x 13
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(237, 574) = 136038
GCD(237, 574) = ( 237 x 574 ) / 136038
GCD(237, 574) = 136038 / 136038
GCD(237, 574) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 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 237, 574, 39, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 574, 39, 997?
GCD of 237, 574, 39, 997 is 1
2. Where do I get the detailed procedure to find GCD of 237, 574, 39, 997?
You can find a detailed procedure to find GCD of 237, 574, 39, 997 on our page.
3. How to find GCD of 237, 574, 39, 997 on a calculator?
You can find the GCD of 237, 574, 39, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.