Greatest Common Factor of 84/78, 42/85, 729/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/78, 42/85, 729/292

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 84/78,42/85,729/292

Given fractions are 84/78,42/85,729/292

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 84,42,729

Greatest Common Factor of Numerators i.e. GCF of 84,42,729 is 3 .

LCM of Denominators means LCM of 78,85,292 as per the given fractions.

LCM of 78,85,292 is 967980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,42,729

GCF of Fractions 84/78,42/85,729/292 is 3/967980

3 84, 42, 729
28, 14, 243

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 84,42,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,42,729 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 84,42,729 . The biggest common factor number is the GCF number.
So the greatest common factor 84,42,729 is 3.

Lets's calculate LCM of 78,85,292

2 78, 85, 292
39, 85, 146

∴ So the LCM of the given numbers is 2 x 39 x 85 x 146 = 967980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/967980

Therefore, the GCF of Fractions 84/78,42/85,729/292 is 3/967980

Least Common Multiple of 78,85,292 with GCF Formula

Least Common Multiple of 78,85,292 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 78,85,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,85,292) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,85,292) x common factors =1 x 2 = 2

LCM(78,85,292) = ( 78 × 85 × 292 ) / 2

LCM(78,85,292) = 1935960 / 2

LCM(78,85,292) = 967980


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 84/78, 42/85, 729/292

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 84/78, 42/85, 729/292?

Answer: GCF of Numerators as per given numbers 84/78, 42/85, 729/292 is

GCF of Numerators i.e. for 84,42,729 is 3

LCM of denominators i.e. for 78,85,292 is 967980.

Thus, GCF of Fractions is 3/967980.Finally, GCF of Fractions for 84/78, 42/85, 729/292 is 3/967980.