Greatest Common Factor of 5/43, 42/49, 72/797, 308/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/43, 42/49, 72/797, 308/286

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 5/43,42/49,72/797,308/286

Given fractions are 5/43,42/49,72/797,308/286

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 5,42,72,308

Greatest Common Factor of Numerators i.e. GCF of 5,42,72,308 is 1 .

LCM of Denominators means LCM of 43,49,797,286 as per the given fractions.

LCM of 43,49,797,286 is 480273794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,42,72,308

GCF of Fractions 5/43,42/49,72/797,308/286 is 1/480273794

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

Greatest Common Factor of 5,42,72,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,42,72,308 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 5,42,72,308 . The biggest common factor number is the GCF number.
So the greatest common factor 5,42,72,308 is 1.

Lets's calculate LCM of 43,49,797,286

Given numbers has no common factors except 1. So, there LCM is their product i.e 480273794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480273794

Therefore, the GCF of Fractions 5/43,42/49,72/797,308/286 is 1/480273794

Least Common Multiple of 43,49,797,286 with GCF Formula

Least Common Multiple of 43,49,797,286 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 43,49,797,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,49,797,286) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,49,797,286) x common factors =1 x 1 = 1

LCM(43,49,797,286) = ( 43 × 49 × 797 × 286 ) / 1

LCM(43,49,797,286) = 480273794 / 1

LCM(43,49,797,286) = 480273794


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 5/43, 42/49, 72/797, 308/286

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 5/43, 42/49, 72/797, 308/286?

Answer: GCF of Numerators as per given numbers 5/43, 42/49, 72/797, 308/286 is

GCF of Numerators i.e. for 5,42,72,308 is 1

LCM of denominators i.e. for 43,49,797,286 is 480273794.

Thus, GCF of Fractions is 1/480273794.Finally, GCF of Fractions for 5/43, 42/49, 72/797, 308/286 is 1/480273794.