Greatest Common Factor of 4582/258, 5688/3404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4582/258, 5688/3404

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 4582/258,5688/3404

Given fractions are 4582/258,5688/3404

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 4582,5688

Greatest Common Factor of Numerators i.e. GCF of 4582,5688 is 158 .

LCM of Denominators means LCM of 258,3404 as per the given fractions.

LCM of 258,3404 is 439116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4582,5688

GCF of Fractions 4582/258,5688/3404 is 158/439116

2 4582, 5688
79 2291, 2844
29, 36

∴ So the GCF of the given numbers is 2 x 79 = 158

Greatest Common Factor of 4582,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 4582,5688 By Matching Biggest Common Factor Method

Factors of 4582

List of positive integer factors of 4582 that divides 4582 without a remainder.

1,2,29,58,79,158,2291,4582

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 4582,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 4582,5688 is 158.

Lets's calculate LCM of 258,3404

2 258, 3404
129, 1702

∴ So the LCM of the given numbers is 2 x 129 x 1702 = 439116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 158/439116

Therefore, the GCF of Fractions 4582/258,5688/3404 is 158/439116

Least Common Multiple of 258,3404 with GCF Formula

Least Common Multiple of 258,3404 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 258,3404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,3404) = 2

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

GCF(258,3404) x common factors =2 x 1 = 2

LCM(258,3404) = ( 258 × 3404 ) / 2

LCM(258,3404) = 878232 / 2

LCM(258,3404) = 439116


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 4582/258, 5688/3404

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 4582/258, 5688/3404?

Answer: GCF of Numerators as per given numbers 4582/258, 5688/3404 is

GCF of Numerators i.e. for 4582,5688 is 158

LCM of denominators i.e. for 258,3404 is 439116.

Thus, GCF of Fractions is 158/439116.Finally, GCF of Fractions for 4582/258, 5688/3404 is 158/439116.