Greatest Common Factor of 94/487, 42/358, 298/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/487, 42/358, 298/363

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 94/487,42/358,298/363

Given fractions are 94/487,42/358,298/363

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 94,42,298

Greatest Common Factor of Numerators i.e. GCF of 94,42,298 is 2 .

LCM of Denominators means LCM of 487,358,363 as per the given fractions.

LCM of 487,358,363 is 63287598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,42,298

GCF of Fractions 94/487,42/358,298/363 is 2/63287598

2 94, 42, 298
47, 21, 149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 94,42,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,42,298 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 94,42,298 . The biggest common factor number is the GCF number.
So the greatest common factor 94,42,298 is 2.

Lets's calculate LCM of 487,358,363

Given numbers has no common factors except 1. So, there LCM is their product i.e 63287598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63287598

Therefore, the GCF of Fractions 94/487,42/358,298/363 is 2/63287598

Least Common Multiple of 487,358,363 with GCF Formula

Least Common Multiple of 487,358,363 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 487,358,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,358,363) = 1

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

GCF(487,358,363) x common factors =1 x 1 = 1

LCM(487,358,363) = ( 487 × 358 × 363 ) / 1

LCM(487,358,363) = 63287598 / 1

LCM(487,358,363) = 63287598


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 94/487, 42/358, 298/363

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 94/487, 42/358, 298/363?

Answer: GCF of Numerators as per given numbers 94/487, 42/358, 298/363 is

GCF of Numerators i.e. for 94,42,298 is 2

LCM of denominators i.e. for 487,358,363 is 63287598.

Thus, GCF of Fractions is 2/63287598.Finally, GCF of Fractions for 94/487, 42/358, 298/363 is 2/63287598.