Greatest Common Factor of 78/99, 130/34, 292/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/99, 130/34, 292/282

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 78/99,130/34,292/282

Given fractions are 78/99,130/34,292/282

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 78,130,292

Greatest Common Factor of Numerators i.e. GCF of 78,130,292 is 2 .

LCM of Denominators means LCM of 99,34,282 as per the given fractions.

LCM of 99,34,282 is 158202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,130,292

GCF of Fractions 78/99,130/34,292/282 is 2/158202

2 78, 130, 292
39, 65, 146

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

Greatest Common Factor of 78,130,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,130,292 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 78,130,292 . The biggest common factor number is the GCF number.
So the greatest common factor 78,130,292 is 2.

Lets's calculate LCM of 99,34,282

2 99, 34, 282
3 99, 17, 141
33, 17, 47

∴ So the LCM of the given numbers is 2 x 3 x 33 x 17 x 47 = 158202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/158202

Therefore, the GCF of Fractions 78/99,130/34,292/282 is 2/158202

Least Common Multiple of 99,34,282 with GCF Formula

Least Common Multiple of 99,34,282 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 99,34,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,34,282) = 1

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

GCF(99,34,282) x common factors =1 x 6 = 6

LCM(99,34,282) = ( 99 × 34 × 282 ) / 6

LCM(99,34,282) = 949212 / 6

LCM(99,34,282) = 158202


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 78/99, 130/34, 292/282

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 78/99, 130/34, 292/282?

Answer: GCF of Numerators as per given numbers 78/99, 130/34, 292/282 is

GCF of Numerators i.e. for 78,130,292 is 2

LCM of denominators i.e. for 99,34,282 is 158202.

Thus, GCF of Fractions is 2/158202.Finally, GCF of Fractions for 78/99, 130/34, 292/282 is 2/158202.