Greatest Common Factor of 3578/506, 4438/4242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3578/506, 4438/4242

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 3578/506,4438/4242

Given fractions are 3578/506,4438/4242

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 3578,4438

Greatest Common Factor of Numerators i.e. GCF of 3578,4438 is 2 .

LCM of Denominators means LCM of 506,4242 as per the given fractions.

LCM of 506,4242 is 1073226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3578,4438

GCF of Fractions 3578/506,4438/4242 is 2/1073226

2 3578, 4438
1789, 2219

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

Greatest Common Factor of 3578,4438 By Matching Biggest Common Factor Method

Greatest Common Factor of 3578,4438 By Matching Biggest Common Factor Method

Factors of 3578

List of positive integer factors of 3578 that divides 3578 without a remainder.

1,2,1789,3578

Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1,2,7,14,317,634,2219,4438

Greatest Common Factor

We found the factors 3578,4438 . The biggest common factor number is the GCF number.
So the greatest common factor 3578,4438 is 2.

Lets's calculate LCM of 506,4242

2 506, 4242
253, 2121

∴ So the LCM of the given numbers is 2 x 253 x 2121 = 1073226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1073226

Therefore, the GCF of Fractions 3578/506,4438/4242 is 2/1073226

Least Common Multiple of 506,4242 with GCF Formula

Least Common Multiple of 506,4242 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 506,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,4242) = 2

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

GCF(506,4242) x common factors =2 x 1 = 2

LCM(506,4242) = ( 506 × 4242 ) / 2

LCM(506,4242) = 2146452 / 2

LCM(506,4242) = 1073226


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 3578/506, 4438/4242

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 3578/506, 4438/4242?

Answer: GCF of Numerators as per given numbers 3578/506, 4438/4242 is

GCF of Numerators i.e. for 3578,4438 is 2

LCM of denominators i.e. for 506,4242 is 1073226.

Thus, GCF of Fractions is 2/1073226.Finally, GCF of Fractions for 3578/506, 4438/4242 is 2/1073226.