Greatest Common Factor of 34/684, 27/944, 686/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/684, 27/944, 686/378

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 34/684,27/944,686/378

Given fractions are 34/684,27/944,686/378

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 34,27,686

Greatest Common Factor of Numerators i.e. GCF of 34,27,686 is 1 .

LCM of Denominators means LCM of 684,944,378 as per the given fractions.

LCM of 684,944,378 is 3389904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,27,686

GCF of Fractions 34/684,27/944,686/378 is 1/3389904

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 34,27,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,27,686 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 34,27,686 . The biggest common factor number is the GCF number.
So the greatest common factor 34,27,686 is 1.

Lets's calculate LCM of 684,944,378

2 684, 944, 378
2 342, 472, 189
3 171, 236, 189
3 57, 236, 63
19, 236, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 236 x 21 = 3389904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3389904

Therefore, the GCF of Fractions 34/684,27/944,686/378 is 1/3389904

Least Common Multiple of 684,944,378 with GCF Formula

Least Common Multiple of 684,944,378 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 684,944,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,944,378) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(684,944,378) x common factors =2 x 36 = 72

LCM(684,944,378) = ( 684 × 944 × 378 ) / 72

LCM(684,944,378) = 244073088 / 72

LCM(684,944,378) = 3389904


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 34/684, 27/944, 686/378

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 34/684, 27/944, 686/378?

Answer: GCF of Numerators as per given numbers 34/684, 27/944, 686/378 is

GCF of Numerators i.e. for 34,27,686 is 1

LCM of denominators i.e. for 684,944,378 is 3389904.

Thus, GCF of Fractions is 1/3389904.Finally, GCF of Fractions for 34/684, 27/944, 686/378 is 1/3389904.