Greatest Common Factor of 5438/62, 4076/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5438/62, 4076/328

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 5438/62,4076/328

Given fractions are 5438/62,4076/328

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 5438,4076

Greatest Common Factor of Numerators i.e. GCF of 5438,4076 is 2 .

LCM of Denominators means LCM of 62,328 as per the given fractions.

LCM of 62,328 is 10168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5438,4076

GCF of Fractions 5438/62,4076/328 is 2/10168

2 5438, 4076
2719, 2038

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

Greatest Common Factor of 5438,4076 By Matching Biggest Common Factor Method

Greatest Common Factor of 5438,4076 By Matching Biggest Common Factor Method

Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1,2,2719,5438

Factors of 4076

List of positive integer factors of 4076 that divides 4076 without a remainder.

1,2,4,1019,2038,4076

Greatest Common Factor

We found the factors 5438,4076 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,4076 is 2.

Lets's calculate LCM of 62,328

2 62, 328
31, 164

∴ So the LCM of the given numbers is 2 x 31 x 164 = 10168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10168

Therefore, the GCF of Fractions 5438/62,4076/328 is 2/10168

Least Common Multiple of 62,328 with GCF Formula

Least Common Multiple of 62,328 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 62,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,328) = 2

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

GCF(62,328) x common factors =2 x 1 = 2

LCM(62,328) = ( 62 × 328 ) / 2

LCM(62,328) = 20336 / 2

LCM(62,328) = 10168


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 5438/62, 4076/328

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 5438/62, 4076/328?

Answer: GCF of Numerators as per given numbers 5438/62, 4076/328 is

GCF of Numerators i.e. for 5438,4076 is 2

LCM of denominators i.e. for 62,328 is 10168.

Thus, GCF of Fractions is 2/10168.Finally, GCF of Fractions for 5438/62, 4076/328 is 2/10168.