Greatest Common Factor of 5848/130, 8462/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5848/130, 8462/444

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 5848/130,8462/444

Given fractions are 5848/130,8462/444

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 5848,8462

Greatest Common Factor of Numerators i.e. GCF of 5848,8462 is 2 .

LCM of Denominators means LCM of 130,444 as per the given fractions.

LCM of 130,444 is 28860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5848,8462

GCF of Fractions 5848/130,8462/444 is 2/28860

2 5848, 8462
2924, 4231

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

Greatest Common Factor of 5848,8462 By Matching Biggest Common Factor Method

Greatest Common Factor of 5848,8462 By Matching Biggest Common Factor Method

Factors of 5848

List of positive integer factors of 5848 that divides 5848 without a remainder.

1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848

Factors of 8462

List of positive integer factors of 8462 that divides 8462 without a remainder.

1,2,4231,8462

Greatest Common Factor

We found the factors 5848,8462 . The biggest common factor number is the GCF number.
So the greatest common factor 5848,8462 is 2.

Lets's calculate LCM of 130,444

2 130, 444
65, 222

∴ So the LCM of the given numbers is 2 x 65 x 222 = 28860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28860

Therefore, the GCF of Fractions 5848/130,8462/444 is 2/28860

Least Common Multiple of 130,444 with GCF Formula

Least Common Multiple of 130,444 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 130,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,444) = 2

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

GCF(130,444) x common factors =2 x 1 = 2

LCM(130,444) = ( 130 × 444 ) / 2

LCM(130,444) = 57720 / 2

LCM(130,444) = 28860


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 5848/130, 8462/444

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 5848/130, 8462/444?

Answer: GCF of Numerators as per given numbers 5848/130, 8462/444 is

GCF of Numerators i.e. for 5848,8462 is 2

LCM of denominators i.e. for 130,444 is 28860.

Thus, GCF of Fractions is 2/28860.Finally, GCF of Fractions for 5848/130, 8462/444 is 2/28860.