Greatest Common Factor of 484/14, 304/5644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/14, 304/5644

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 484/14,304/5644

Given fractions are 484/14,304/5644

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 484,304

Greatest Common Factor of Numerators i.e. GCF of 484,304 is 4 .

LCM of Denominators means LCM of 14,5644 as per the given fractions.

LCM of 14,5644 is 39508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,304

GCF of Fractions 484/14,304/5644 is 4/39508

2 484, 304
2 242, 152
121, 76

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 484,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,304 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 484,304 . The biggest common factor number is the GCF number.
So the greatest common factor 484,304 is 4.

Lets's calculate LCM of 14,5644

2 14, 5644
7, 2822

∴ So the LCM of the given numbers is 2 x 7 x 2822 = 39508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/39508

Therefore, the GCF of Fractions 484/14,304/5644 is 4/39508

Least Common Multiple of 14,5644 with GCF Formula

Least Common Multiple of 14,5644 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 14,5644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,5644) = 2

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

GCF(14,5644) x common factors =2 x 1 = 2

LCM(14,5644) = ( 14 × 5644 ) / 2

LCM(14,5644) = 79016 / 2

LCM(14,5644) = 39508


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 484/14, 304/5644

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 484/14, 304/5644?

Answer: GCF of Numerators as per given numbers 484/14, 304/5644 is

GCF of Numerators i.e. for 484,304 is 4

LCM of denominators i.e. for 14,5644 is 39508.

Thus, GCF of Fractions is 4/39508.Finally, GCF of Fractions for 484/14, 304/5644 is 4/39508.