Greatest Common Factor of 6/88, 70/57, 38/944, 198/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/88, 70/57, 38/944, 198/874

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 6/88,70/57,38/944,198/874

Given fractions are 6/88,70/57,38/944,198/874

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 6,70,38,198

Greatest Common Factor of Numerators i.e. GCF of 6,70,38,198 is 2 .

LCM of Denominators means LCM of 88,57,944,874 as per the given fractions.

LCM of 88,57,944,874 is 13613424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,70,38,198

GCF of Fractions 6/88,70/57,38/944,198/874 is 2/13613424

2 6, 70, 38, 198
3, 35, 19, 99

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,70,38,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,70,38,198 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 6,70,38,198 . The biggest common factor number is the GCF number.
So the greatest common factor 6,70,38,198 is 2.

Lets's calculate LCM of 88,57,944,874

2 88, 57, 944, 874
2 44, 57, 472, 437
2 22, 57, 236, 437
19 11, 57, 118, 437
11, 3, 118, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 11 x 3 x 118 x 23 = 13613424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13613424

Therefore, the GCF of Fractions 6/88,70/57,38/944,198/874 is 2/13613424

Least Common Multiple of 88,57,944,874 with GCF Formula

Least Common Multiple of 88,57,944,874 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 88,57,944,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,57,944,874) = 1

common factors(in case of two or more numbers have common factors) = 304

GCF(88,57,944,874) x common factors =1 x 304 = 304

LCM(88,57,944,874) = ( 88 × 57 × 944 × 874 ) / 304

LCM(88,57,944,874) = 4138480896 / 304

LCM(88,57,944,874) = 13613424


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 6/88, 70/57, 38/944, 198/874

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 6/88, 70/57, 38/944, 198/874?

Answer: GCF of Numerators as per given numbers 6/88, 70/57, 38/944, 198/874 is

GCF of Numerators i.e. for 6,70,38,198 is 2

LCM of denominators i.e. for 88,57,944,874 is 13613424.

Thus, GCF of Fractions is 2/13613424.Finally, GCF of Fractions for 6/88, 70/57, 38/944, 198/874 is 2/13613424.