Greatest Common Factor of 39/24, 71/49, 279/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/24, 71/49, 279/414

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 39/24,71/49,279/414

Given fractions are 39/24,71/49,279/414

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 39,71,279

Greatest Common Factor of Numerators i.e. GCF of 39,71,279 is 1 .

LCM of Denominators means LCM of 24,49,414 as per the given fractions.

LCM of 24,49,414 is 81144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,71,279

GCF of Fractions 39/24,71/49,279/414 is 1/81144

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

Greatest Common Factor of 39,71,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,71,279 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 39,71,279 . The biggest common factor number is the GCF number.
So the greatest common factor 39,71,279 is 1.

Lets's calculate LCM of 24,49,414

2 24, 49, 414
3 12, 49, 207
4, 49, 69

∴ So the LCM of the given numbers is 2 x 3 x 4 x 49 x 69 = 81144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81144

Therefore, the GCF of Fractions 39/24,71/49,279/414 is 1/81144

Least Common Multiple of 24,49,414 with GCF Formula

Least Common Multiple of 24,49,414 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 24,49,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,49,414) = 1

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

GCF(24,49,414) x common factors =1 x 6 = 6

LCM(24,49,414) = ( 24 × 49 × 414 ) / 6

LCM(24,49,414) = 486864 / 6

LCM(24,49,414) = 81144


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 39/24, 71/49, 279/414

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 39/24, 71/49, 279/414?

Answer: GCF of Numerators as per given numbers 39/24, 71/49, 279/414 is

GCF of Numerators i.e. for 39,71,279 is 1

LCM of denominators i.e. for 24,49,414 is 81144.

Thus, GCF of Fractions is 1/81144.Finally, GCF of Fractions for 39/24, 71/49, 279/414 is 1/81144.