Greatest Common Factor of 47/78, 42/28, 229/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/78, 42/28, 229/182

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 47/78,42/28,229/182

Given fractions are 47/78,42/28,229/182

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 47,42,229

Greatest Common Factor of Numerators i.e. GCF of 47,42,229 is 1 .

LCM of Denominators means LCM of 78,28,182 as per the given fractions.

LCM of 78,28,182 is 1092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,42,229

GCF of Fractions 47/78,42/28,229/182 is 1/1092

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

Greatest Common Factor of 47,42,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,42,229 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 47,42,229 . The biggest common factor number is the GCF number.
So the greatest common factor 47,42,229 is 1.

Lets's calculate LCM of 78,28,182

2 78, 28, 182
7 39, 14, 91
13 39, 2, 13
3, 2, 1

∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 2 x 1 = 1092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092

Therefore, the GCF of Fractions 47/78,42/28,229/182 is 1/1092

Least Common Multiple of 78,28,182 with GCF Formula

Least Common Multiple of 78,28,182 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 78,28,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,28,182) = 2

common factors(in case of two or more numbers have common factors) = 182

GCF(78,28,182) x common factors =2 x 182 = 364

LCM(78,28,182) = ( 78 × 28 × 182 ) / 364

LCM(78,28,182) = 397488 / 364

LCM(78,28,182) = 1092


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 47/78, 42/28, 229/182

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 47/78, 42/28, 229/182?

Answer: GCF of Numerators as per given numbers 47/78, 42/28, 229/182 is

GCF of Numerators i.e. for 47,42,229 is 1

LCM of denominators i.e. for 78,28,182 is 1092.

Thus, GCF of Fractions is 1/1092.Finally, GCF of Fractions for 47/78, 42/28, 229/182 is 1/1092.