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 296, 686, 294, 874 i.e. 2 largest integer that divides all the numbers equally.
GCD of 296, 686, 294, 874 is 2
GCD(296, 686, 294, 874) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 686, 294, 874 is 2
GCD(296, 686, 294, 874) = 2
Given Input numbers are 296, 686, 294, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 296, 686, 294, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 686, 294, 874 is 2.
Therefore, GCD of numbers 296, 686, 294, 874 is 2
Given Input Data is 296, 686, 294, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 874 is 2 x 19 x 23
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(296, 686) = 101528
GCD(296, 686) = ( 296 x 686 ) / 101528
GCD(296, 686) = 203056 / 101528
GCD(296, 686) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
GCD(2, 294) = 588 / 294
GCD(2, 294) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
GCD(2, 874) = 1748 / 874
GCD(2, 874) = 2
GCD of 296, 686, 294, 874 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 686, 294, 874?
GCD of 296, 686, 294, 874 is 2
2. Where do I get the detailed procedure to find GCD of 296, 686, 294, 874?
You can find a detailed procedure to find GCD of 296, 686, 294, 874 on our page.
3. How to find GCD of 296, 686, 294, 874 on a calculator?
You can find the GCD of 296, 686, 294, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.