Greatest Common Factor of 42/34, 163/48, 247/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/34, 163/48, 247/311

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 42/34,163/48,247/311

Given fractions are 42/34,163/48,247/311

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 42,163,247

Greatest Common Factor of Numerators i.e. GCF of 42,163,247 is 1 .

LCM of Denominators means LCM of 34,48,311 as per the given fractions.

LCM of 34,48,311 is 253776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,163,247

GCF of Fractions 42/34,163/48,247/311 is 1/253776

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

Greatest Common Factor of 42,163,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,163,247 By Matching Biggest Common Factor Method

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 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 42,163,247 . The biggest common factor number is the GCF number.
So the greatest common factor 42,163,247 is 1.

Lets's calculate LCM of 34,48,311

2 34, 48, 311
17, 24, 311

∴ So the LCM of the given numbers is 2 x 17 x 24 x 311 = 253776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253776

Therefore, the GCF of Fractions 42/34,163/48,247/311 is 1/253776

Least Common Multiple of 34,48,311 with GCF Formula

Least Common Multiple of 34,48,311 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 34,48,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,48,311) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,48,311) x common factors =1 x 2 = 2

LCM(34,48,311) = ( 34 × 48 × 311 ) / 2

LCM(34,48,311) = 507552 / 2

LCM(34,48,311) = 253776


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 42/34, 163/48, 247/311

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 42/34, 163/48, 247/311?

Answer: GCF of Numerators as per given numbers 42/34, 163/48, 247/311 is

GCF of Numerators i.e. for 42,163,247 is 1

LCM of denominators i.e. for 34,48,311 is 253776.

Thus, GCF of Fractions is 1/253776.Finally, GCF of Fractions for 42/34, 163/48, 247/311 is 1/253776.