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 746, 348, 30, 834 i.e. 2 largest integer that divides all the numbers equally.
GCD of 746, 348, 30, 834 is 2
GCD(746, 348, 30, 834) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 348, 30, 834 is 2
GCD(746, 348, 30, 834) = 2
Given Input numbers are 746, 348, 30, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
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 746, 348, 30, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 348, 30, 834 is 2.
Therefore, GCD of numbers 746, 348, 30, 834 is 2
Given Input Data is 746, 348, 30, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 834 is 2 x 3 x 139
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(746, 348) = 129804
GCD(746, 348) = ( 746 x 348 ) / 129804
GCD(746, 348) = 259608 / 129804
GCD(746, 348) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 834) = 834
GCD(2, 834) = ( 2 x 834 ) / 834
GCD(2, 834) = 1668 / 834
GCD(2, 834) = 2
GCD of 746, 348, 30, 834 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 348, 30, 834?
GCD of 746, 348, 30, 834 is 2
2. Where do I get the detailed procedure to find GCD of 746, 348, 30, 834?
You can find a detailed procedure to find GCD of 746, 348, 30, 834 on our page.
3. How to find GCD of 746, 348, 30, 834 on a calculator?
You can find the GCD of 746, 348, 30, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.