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 334, 275, 22, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 334, 275, 22, 600 is 1
GCD(334, 275, 22, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 275, 22, 600 is 1
GCD(334, 275, 22, 600) = 1
Given Input numbers are 334, 275, 22, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 334, 275, 22, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 275, 22, 600 is 1.
Therefore, GCD of numbers 334, 275, 22, 600 is 1
Given Input Data is 334, 275, 22, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 22 is 2 x 11
Prime Factorization of 600 is 2 x 2 x 2 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(334, 275) = 91850
GCD(334, 275) = ( 334 x 275 ) / 91850
GCD(334, 275) = 91850 / 91850
GCD(334, 275) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 334, 275, 22, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 275, 22, 600?
GCD of 334, 275, 22, 600 is 1
2. Where do I get the detailed procedure to find GCD of 334, 275, 22, 600?
You can find a detailed procedure to find GCD of 334, 275, 22, 600 on our page.
3. How to find GCD of 334, 275, 22, 600 on a calculator?
You can find the GCD of 334, 275, 22, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.