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, 756, 40, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 756, 40, 341 is 1
GCD(600, 756, 40, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 756, 40, 341 is 1
GCD(600, 756, 40, 341) = 1
Given Input numbers are 600, 756, 40, 341
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 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 600, 756, 40, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 756, 40, 341 is 1.
Therefore, GCD of numbers 600, 756, 40, 341 is 1
Given Input Data is 600, 756, 40, 341
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 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 341 is 11 x 31
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, 756) = 37800
GCD(600, 756) = ( 600 x 756 ) / 37800
GCD(600, 756) = 453600 / 37800
GCD(600, 756) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 40) = 120
GCD(12, 40) = ( 12 x 40 ) / 120
GCD(12, 40) = 480 / 120
GCD(12, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 341) = 1364
GCD(4, 341) = ( 4 x 341 ) / 1364
GCD(4, 341) = 1364 / 1364
GCD(4, 341) = 1
GCD of 600, 756, 40, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 756, 40, 341?
GCD of 600, 756, 40, 341 is 1
2. Where do I get the detailed procedure to find GCD of 600, 756, 40, 341?
You can find a detailed procedure to find GCD of 600, 756, 40, 341 on our page.
3. How to find GCD of 600, 756, 40, 341 on a calculator?
You can find the GCD of 600, 756, 40, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.