Greatest Common Factor of 5434/323, 7427/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5434/323, 7427/385

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 5434/323,7427/385

Given fractions are 5434/323,7427/385

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 5434,7427

Greatest Common Factor of Numerators i.e. GCF of 5434,7427 is 1 .

LCM of Denominators means LCM of 323,385 as per the given fractions.

LCM of 323,385 is 124355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5434,7427

GCF of Fractions 5434/323,7427/385 is 1/124355

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

Greatest Common Factor of 5434,7427 By Matching Biggest Common Factor Method

Greatest Common Factor of 5434,7427 By Matching Biggest Common Factor Method

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Factors of 7427

List of positive integer factors of 7427 that divides 7427 without a remainder.

1,7,1061,7427

Greatest Common Factor

We found the factors 5434,7427 . The biggest common factor number is the GCF number.
So the greatest common factor 5434,7427 is 1.

Lets's calculate LCM of 323,385

Given numbers has no common factors except 1. So, there LCM is their product i.e 124355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124355

Therefore, the GCF of Fractions 5434/323,7427/385 is 1/124355

Least Common Multiple of 323,385 with GCF Formula

Least Common Multiple of 323,385 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 323,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,385) = 1

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

GCF(323,385) x common factors =1 x 1 = 1

LCM(323,385) = ( 323 × 385 ) / 1

LCM(323,385) = 124355 / 1

LCM(323,385) = 124355


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 5434/323, 7427/385

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 5434/323, 7427/385?

Answer: GCF of Numerators as per given numbers 5434/323, 7427/385 is

GCF of Numerators i.e. for 5434,7427 is 1

LCM of denominators i.e. for 323,385 is 124355.

Thus, GCF of Fractions is 1/124355.Finally, GCF of Fractions for 5434/323, 7427/385 is 1/124355.