Greatest Common Factor of 78/69, 96/27, 407/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/69, 96/27, 407/436

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 78/69,96/27,407/436

Given fractions are 78/69,96/27,407/436

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 78,96,407

Greatest Common Factor of Numerators i.e. GCF of 78,96,407 is 1 .

LCM of Denominators means LCM of 69,27,436 as per the given fractions.

LCM of 69,27,436 is 270756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,96,407

GCF of Fractions 78/69,96/27,407/436 is 1/270756

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

Greatest Common Factor of 78,96,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,96,407 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 78,96,407 . The biggest common factor number is the GCF number.
So the greatest common factor 78,96,407 is 1.

Lets's calculate LCM of 69,27,436

3 69, 27, 436
23, 9, 436

∴ So the LCM of the given numbers is 3 x 23 x 9 x 436 = 270756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270756

Therefore, the GCF of Fractions 78/69,96/27,407/436 is 1/270756

Least Common Multiple of 69,27,436 with GCF Formula

Least Common Multiple of 69,27,436 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 69,27,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,27,436) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,27,436) x common factors =1 x 3 = 3

LCM(69,27,436) = ( 69 × 27 × 436 ) / 3

LCM(69,27,436) = 812268 / 3

LCM(69,27,436) = 270756


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 78/69, 96/27, 407/436

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 78/69, 96/27, 407/436?

Answer: GCF of Numerators as per given numbers 78/69, 96/27, 407/436 is

GCF of Numerators i.e. for 78,96,407 is 1

LCM of denominators i.e. for 69,27,436 is 270756.

Thus, GCF of Fractions is 1/270756.Finally, GCF of Fractions for 78/69, 96/27, 407/436 is 1/270756.