Greatest Common Factor of 42/97, 71/98, 308/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/97, 71/98, 308/508

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 42/97,71/98,308/508

Given fractions are 42/97,71/98,308/508

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 42,71,308

Greatest Common Factor of Numerators i.e. GCF of 42,71,308 is 1 .

LCM of Denominators means LCM of 97,98,508 as per the given fractions.

LCM of 97,98,508 is 2414524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,71,308

GCF of Fractions 42/97,71/98,308/508 is 1/2414524

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

Greatest Common Factor of 42,71,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,71,308 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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 42,71,308 . The biggest common factor number is the GCF number.
So the greatest common factor 42,71,308 is 1.

Lets's calculate LCM of 97,98,508

2 97, 98, 508
97, 49, 254

∴ So the LCM of the given numbers is 2 x 97 x 49 x 254 = 2414524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2414524

Therefore, the GCF of Fractions 42/97,71/98,308/508 is 1/2414524

Least Common Multiple of 97,98,508 with GCF Formula

Least Common Multiple of 97,98,508 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 97,98,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,98,508) = 1

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

GCF(97,98,508) x common factors =1 x 2 = 2

LCM(97,98,508) = ( 97 × 98 × 508 ) / 2

LCM(97,98,508) = 4829048 / 2

LCM(97,98,508) = 2414524


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 42/97, 71/98, 308/508

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 42/97, 71/98, 308/508?

Answer: GCF of Numerators as per given numbers 42/97, 71/98, 308/508 is

GCF of Numerators i.e. for 42,71,308 is 1

LCM of denominators i.e. for 97,98,508 is 2414524.

Thus, GCF of Fractions is 1/2414524.Finally, GCF of Fractions for 42/97, 71/98, 308/508 is 1/2414524.