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 600, 606, 491, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 606, 491, 334 is 1
GCD(600, 606, 491, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 606, 491, 334 is 1
GCD(600, 606, 491, 334) = 1
Given Input numbers are 600, 606, 491, 334
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 600, 606, 491, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 606, 491, 334 is 1.
Therefore, GCD of numbers 600, 606, 491, 334 is 1
Given Input Data is 600, 606, 491, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 491 is 491
Prime Factorization of 334 is 2 x 167
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(600, 606) = 60600
GCD(600, 606) = ( 600 x 606 ) / 60600
GCD(600, 606) = 363600 / 60600
GCD(600, 606) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 491) = 2946
GCD(6, 491) = ( 6 x 491 ) / 2946
GCD(6, 491) = 2946 / 2946
GCD(6, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 600, 606, 491, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 606, 491, 334?
GCD of 600, 606, 491, 334 is 1
2. Where do I get the detailed procedure to find GCD of 600, 606, 491, 334?
You can find a detailed procedure to find GCD of 600, 606, 491, 334 on our page.
3. How to find GCD of 600, 606, 491, 334 on a calculator?
You can find the GCD of 600, 606, 491, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.