Greatest Common Factor of 386/78, 179/32, 562/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/78, 179/32, 562/848

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 386/78,179/32,562/848

Given fractions are 386/78,179/32,562/848

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 386,179,562

Greatest Common Factor of Numerators i.e. GCF of 386,179,562 is 1 .

LCM of Denominators means LCM of 78,32,848 as per the given fractions.

LCM of 78,32,848 is 66144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,179,562

GCF of Fractions 386/78,179/32,562/848 is 1/66144

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

Greatest Common Factor of 386,179,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,179,562 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 386,179,562 . The biggest common factor number is the GCF number.
So the greatest common factor 386,179,562 is 1.

Lets's calculate LCM of 78,32,848

2 78, 32, 848
2 39, 16, 424
2 39, 8, 212
2 39, 4, 106
39, 2, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 39 x 2 x 53 = 66144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66144

Therefore, the GCF of Fractions 386/78,179/32,562/848 is 1/66144

Least Common Multiple of 78,32,848 with GCF Formula

Least Common Multiple of 78,32,848 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 78,32,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,32,848) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(78,32,848) x common factors =2 x 16 = 32

LCM(78,32,848) = ( 78 × 32 × 848 ) / 32

LCM(78,32,848) = 2116608 / 32

LCM(78,32,848) = 66144


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 386/78, 179/32, 562/848

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 386/78, 179/32, 562/848?

Answer: GCF of Numerators as per given numbers 386/78, 179/32, 562/848 is

GCF of Numerators i.e. for 386,179,562 is 1

LCM of denominators i.e. for 78,32,848 is 66144.

Thus, GCF of Fractions is 1/66144.Finally, GCF of Fractions for 386/78, 179/32, 562/848 is 1/66144.