Greatest Common Factor of 42/498, 21/329, 994/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/498, 21/329, 994/391

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 42/498,21/329,994/391

Given fractions are 42/498,21/329,994/391

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 42,21,994

Greatest Common Factor of Numerators i.e. GCF of 42,21,994 is 7 .

LCM of Denominators means LCM of 498,329,391 as per the given fractions.

LCM of 498,329,391 is 64062222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,21,994

GCF of Fractions 42/498,21/329,994/391 is 7/64062222

7 42, 21, 994
6, 3, 142

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 42,21,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,21,994 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 42,21,994 . The biggest common factor number is the GCF number.
So the greatest common factor 42,21,994 is 7.

Lets's calculate LCM of 498,329,391

Given numbers has no common factors except 1. So, there LCM is their product i.e 64062222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/64062222

Therefore, the GCF of Fractions 42/498,21/329,994/391 is 7/64062222

Least Common Multiple of 498,329,391 with GCF Formula

Least Common Multiple of 498,329,391 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 498,329,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,329,391) = 1

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

GCF(498,329,391) x common factors =1 x 1 = 1

LCM(498,329,391) = ( 498 × 329 × 391 ) / 1

LCM(498,329,391) = 64062222 / 1

LCM(498,329,391) = 64062222


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 42/498, 21/329, 994/391

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 42/498, 21/329, 994/391?

Answer: GCF of Numerators as per given numbers 42/498, 21/329, 994/391 is

GCF of Numerators i.e. for 42,21,994 is 7

LCM of denominators i.e. for 498,329,391 is 64062222.

Thus, GCF of Fractions is 7/64062222.Finally, GCF of Fractions for 42/498, 21/329, 994/391 is 7/64062222.