Greatest Common Factor of 5336/34, 4619/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5336/34, 4619/328

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 5336/34,4619/328

Given fractions are 5336/34,4619/328

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 5336,4619

Greatest Common Factor of Numerators i.e. GCF of 5336,4619 is 1 .

LCM of Denominators means LCM of 34,328 as per the given fractions.

LCM of 34,328 is 5576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5336,4619

GCF of Fractions 5336/34,4619/328 is 1/5576

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5336,4619 By Matching Biggest Common Factor Method

Greatest Common Factor of 5336,4619 By Matching Biggest Common Factor Method

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Factors of 4619

List of positive integer factors of 4619 that divides 4619 without a remainder.

1,31,149,4619

Greatest Common Factor

We found the factors 5336,4619 . The biggest common factor number is the GCF number.
So the greatest common factor 5336,4619 is 1.

Lets's calculate LCM of 34,328

2 34, 328
17, 164

∴ So the LCM of the given numbers is 2 x 17 x 164 = 5576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5576

Therefore, the GCF of Fractions 5336/34,4619/328 is 1/5576

Least Common Multiple of 34,328 with GCF Formula

Least Common Multiple of 34,328 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 34,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,328) = 2

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

GCF(34,328) x common factors =2 x 1 = 2

LCM(34,328) = ( 34 × 328 ) / 2

LCM(34,328) = 11152 / 2

LCM(34,328) = 5576


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 5336/34, 4619/328

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 5336/34, 4619/328?

Answer: GCF of Numerators as per given numbers 5336/34, 4619/328 is

GCF of Numerators i.e. for 5336,4619 is 1

LCM of denominators i.e. for 34,328 is 5576.

Thus, GCF of Fractions is 1/5576.Finally, GCF of Fractions for 5336/34, 4619/328 is 1/5576.