Greatest Common Factor of 78/89, 69/77, 42/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/89, 69/77, 42/448

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 78/89,69/77,42/448

Given fractions are 78/89,69/77,42/448

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 78,69,42

Greatest Common Factor of Numerators i.e. GCF of 78,69,42 is 3 .

LCM of Denominators means LCM of 89,77,448 as per the given fractions.

LCM of 89,77,448 is 438592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,69,42

GCF of Fractions 78/89,69/77,42/448 is 3/438592

3 78, 69, 42
26, 23, 14

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

Greatest Common Factor of 78,69,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,69,42 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 78,69,42 . The biggest common factor number is the GCF number.
So the greatest common factor 78,69,42 is 3.

Lets's calculate LCM of 89,77,448

7 89, 77, 448
89, 11, 64

∴ So the LCM of the given numbers is 7 x 89 x 11 x 64 = 438592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/438592

Therefore, the GCF of Fractions 78/89,69/77,42/448 is 3/438592

Least Common Multiple of 89,77,448 with GCF Formula

Least Common Multiple of 89,77,448 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 89,77,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,77,448) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(89,77,448) x common factors =1 x 7 = 7

LCM(89,77,448) = ( 89 × 77 × 448 ) / 7

LCM(89,77,448) = 3070144 / 7

LCM(89,77,448) = 438592


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 78/89, 69/77, 42/448

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 78/89, 69/77, 42/448?

Answer: GCF of Numerators as per given numbers 78/89, 69/77, 42/448 is

GCF of Numerators i.e. for 78,69,42 is 3

LCM of denominators i.e. for 89,77,448 is 438592.

Thus, GCF of Fractions is 3/438592.Finally, GCF of Fractions for 78/89, 69/77, 42/448 is 3/438592.