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 434, 286, 748 i.e. 2 largest integer that divides all the numbers equally.
GCD of 434, 286, 748 is 2
GCD(434, 286, 748) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 286, 748 is 2
GCD(434, 286, 748) = 2
Given Input numbers are 434, 286, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 434, 286, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 286, 748 is 2.
Therefore, GCD of numbers 434, 286, 748 is 2
Given Input Data is 434, 286, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(434, 286) = 62062
GCD(434, 286) = ( 434 x 286 ) / 62062
GCD(434, 286) = 124124 / 62062
GCD(434, 286) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
GCD(2, 748) = 1496 / 748
GCD(2, 748) = 2
GCD of 434, 286, 748 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 286, 748?
GCD of 434, 286, 748 is 2
2. Where do I get the detailed procedure to find GCD of 434, 286, 748?
You can find a detailed procedure to find GCD of 434, 286, 748 on our page.
3. How to find GCD of 434, 286, 748 on a calculator?
You can find the GCD of 434, 286, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.