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, 156, 11, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 156, 11, 834 is 1
GCD(600, 156, 11, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 156, 11, 834 is 1
GCD(600, 156, 11, 834) = 1
Given Input numbers are 600, 156, 11, 834
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 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 600, 156, 11, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 156, 11, 834 is 1.
Therefore, GCD of numbers 600, 156, 11, 834 is 1
Given Input Data is 600, 156, 11, 834
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 156 is 2 x 2 x 3 x 13
Prime Factorization of 11 is 11
Prime Factorization of 834 is 2 x 3 x 139
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, 156) = 7800
GCD(600, 156) = ( 600 x 156 ) / 7800
GCD(600, 156) = 93600 / 7800
GCD(600, 156) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 11) = 132
GCD(12, 11) = ( 12 x 11 ) / 132
GCD(12, 11) = 132 / 132
GCD(12, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 600, 156, 11, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 156, 11, 834?
GCD of 600, 156, 11, 834 is 1
2. Where do I get the detailed procedure to find GCD of 600, 156, 11, 834?
You can find a detailed procedure to find GCD of 600, 156, 11, 834 on our page.
3. How to find GCD of 600, 156, 11, 834 on a calculator?
You can find the GCD of 600, 156, 11, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.