Greatest Common Factor of 5996/48, 4268/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5996/48, 4268/844

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 5996/48,4268/844

Given fractions are 5996/48,4268/844

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 5996,4268

Greatest Common Factor of Numerators i.e. GCF of 5996,4268 is 4 .

LCM of Denominators means LCM of 48,844 as per the given fractions.

LCM of 48,844 is 10128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5996,4268

GCF of Fractions 5996/48,4268/844 is 4/10128

2 5996, 4268
2 2998, 2134
1499, 1067

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

Greatest Common Factor of 5996,4268 By Matching Biggest Common Factor Method

Greatest Common Factor of 5996,4268 By Matching Biggest Common Factor Method

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

Greatest Common Factor

We found the factors 5996,4268 . The biggest common factor number is the GCF number.
So the greatest common factor 5996,4268 is 4.

Lets's calculate LCM of 48,844

2 48, 844
2 24, 422
12, 211

∴ So the LCM of the given numbers is 2 x 2 x 12 x 211 = 10128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10128

Therefore, the GCF of Fractions 5996/48,4268/844 is 4/10128

Least Common Multiple of 48,844 with GCF Formula

Least Common Multiple of 48,844 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 48,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,844) = 4

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

GCF(48,844) x common factors =4 x 1 = 4

LCM(48,844) = ( 48 × 844 ) / 4

LCM(48,844) = 40512 / 4

LCM(48,844) = 10128


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 5996/48, 4268/844

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 5996/48, 4268/844?

Answer: GCF of Numerators as per given numbers 5996/48, 4268/844 is

GCF of Numerators i.e. for 5996,4268 is 4

LCM of denominators i.e. for 48,844 is 10128.

Thus, GCF of Fractions is 4/10128.Finally, GCF of Fractions for 5996/48, 4268/844 is 4/10128.