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 834, 372, 60, 894 i.e. 6 largest integer that divides all the numbers equally.
GCD of 834, 372, 60, 894 is 6
GCD(834, 372, 60, 894) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 372, 60, 894 is 6
GCD(834, 372, 60, 894) = 6
Given Input numbers are 834, 372, 60, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 834, 372, 60, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 372, 60, 894 is 6.
Therefore, GCD of numbers 834, 372, 60, 894 is 6
Given Input Data is 834, 372, 60, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 894 is 2 x 3 x 149
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(834, 372) = 51708
GCD(834, 372) = ( 834 x 372 ) / 51708
GCD(834, 372) = 310248 / 51708
GCD(834, 372) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 60) = 60
GCD(6, 60) = ( 6 x 60 ) / 60
GCD(6, 60) = 360 / 60
GCD(6, 60) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 894) = 894
GCD(6, 894) = ( 6 x 894 ) / 894
GCD(6, 894) = 5364 / 894
GCD(6, 894) = 6
GCD of 834, 372, 60, 894 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 372, 60, 894?
GCD of 834, 372, 60, 894 is 6
2. Where do I get the detailed procedure to find GCD of 834, 372, 60, 894?
You can find a detailed procedure to find GCD of 834, 372, 60, 894 on our page.
3. How to find GCD of 834, 372, 60, 894 on a calculator?
You can find the GCD of 834, 372, 60, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.