Greatest Common Factor of 472/292, 4898/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/292, 4898/305

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 472/292,4898/305

Given fractions are 472/292,4898/305

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 472,4898

Greatest Common Factor of Numerators i.e. GCF of 472,4898 is 2 .

LCM of Denominators means LCM of 292,305 as per the given fractions.

LCM of 292,305 is 89060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,4898

GCF of Fractions 472/292,4898/305 is 2/89060

2 472, 4898
236, 2449

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

Greatest Common Factor of 472,4898 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,4898 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 4898

List of positive integer factors of 4898 that divides 4898 without a remainder.

1,2,31,62,79,158,2449,4898

Greatest Common Factor

We found the factors 472,4898 . The biggest common factor number is the GCF number.
So the greatest common factor 472,4898 is 2.

Lets's calculate LCM of 292,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 89060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89060

Therefore, the GCF of Fractions 472/292,4898/305 is 2/89060

Least Common Multiple of 292,305 with GCF Formula

Least Common Multiple of 292,305 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 292,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,305) = 1

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

GCF(292,305) x common factors =1 x 1 = 1

LCM(292,305) = ( 292 × 305 ) / 1

LCM(292,305) = 89060 / 1

LCM(292,305) = 89060


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 472/292, 4898/305

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 472/292, 4898/305?

Answer: GCF of Numerators as per given numbers 472/292, 4898/305 is

GCF of Numerators i.e. for 472,4898 is 2

LCM of denominators i.e. for 292,305 is 89060.

Thus, GCF of Fractions is 2/89060.Finally, GCF of Fractions for 472/292, 4898/305 is 2/89060.