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 258, 937, 137, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 937, 137, 900 is 1
GCD(258, 937, 137, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 937, 137, 900 is 1
GCD(258, 937, 137, 900) = 1
Given Input numbers are 258, 937, 137, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 258, 937, 137, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 937, 137, 900 is 1.
Therefore, GCD of numbers 258, 937, 137, 900 is 1
Given Input Data is 258, 937, 137, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 937 is 937
Prime Factorization of 137 is 137
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
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(258, 937) = 241746
GCD(258, 937) = ( 258 x 937 ) / 241746
GCD(258, 937) = 241746 / 241746
GCD(258, 937) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 258, 937, 137, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 937, 137, 900?
GCD of 258, 937, 137, 900 is 1
2. Where do I get the detailed procedure to find GCD of 258, 937, 137, 900?
You can find a detailed procedure to find GCD of 258, 937, 137, 900 on our page.
3. How to find GCD of 258, 937, 137, 900 on a calculator?
You can find the GCD of 258, 937, 137, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.