Greatest Common Factor of 76/78, 38/99, 305/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/78, 38/99, 305/166

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 76/78,38/99,305/166

Given fractions are 76/78,38/99,305/166

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 76,38,305

Greatest Common Factor of Numerators i.e. GCF of 76,38,305 is 1 .

LCM of Denominators means LCM of 78,99,166 as per the given fractions.

LCM of 78,99,166 is 213642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,38,305

GCF of Fractions 76/78,38/99,305/166 is 1/213642

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

Greatest Common Factor of 76,38,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,38,305 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 38

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

1,2,19,38

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 76,38,305 . The biggest common factor number is the GCF number.
So the greatest common factor 76,38,305 is 1.

Lets's calculate LCM of 78,99,166

2 78, 99, 166
3 39, 99, 83
13, 33, 83

∴ So the LCM of the given numbers is 2 x 3 x 13 x 33 x 83 = 213642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213642

Therefore, the GCF of Fractions 76/78,38/99,305/166 is 1/213642

Least Common Multiple of 78,99,166 with GCF Formula

Least Common Multiple of 78,99,166 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 78,99,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,99,166) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,99,166) x common factors =1 x 6 = 6

LCM(78,99,166) = ( 78 × 99 × 166 ) / 6

LCM(78,99,166) = 1281852 / 6

LCM(78,99,166) = 213642


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 76/78, 38/99, 305/166

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 76/78, 38/99, 305/166?

Answer: GCF of Numerators as per given numbers 76/78, 38/99, 305/166 is

GCF of Numerators i.e. for 76,38,305 is 1

LCM of denominators i.e. for 78,99,166 is 213642.

Thus, GCF of Fractions is 1/213642.Finally, GCF of Fractions for 76/78, 38/99, 305/166 is 1/213642.