Greatest Common Factor of 5349/834, 9188/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5349/834, 9188/274

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 5349/834,9188/274

Given fractions are 5349/834,9188/274

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 5349,9188

Greatest Common Factor of Numerators i.e. GCF of 5349,9188 is 1 .

LCM of Denominators means LCM of 834,274 as per the given fractions.

LCM of 834,274 is 114258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5349,9188

GCF of Fractions 5349/834,9188/274 is 1/114258

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

Greatest Common Factor of 5349,9188 By Matching Biggest Common Factor Method

Greatest Common Factor of 5349,9188 By Matching Biggest Common Factor Method

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1,3,1783,5349

Factors of 9188

List of positive integer factors of 9188 that divides 9188 without a remainder.

1,2,4,2297,4594,9188

Greatest Common Factor

We found the factors 5349,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,9188 is 1.

Lets's calculate LCM of 834,274

2 834, 274
417, 137

∴ So the LCM of the given numbers is 2 x 417 x 137 = 114258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114258

Therefore, the GCF of Fractions 5349/834,9188/274 is 1/114258

Least Common Multiple of 834,274 with GCF Formula

Least Common Multiple of 834,274 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 834,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,274) = 2

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

GCF(834,274) x common factors =2 x 1 = 2

LCM(834,274) = ( 834 × 274 ) / 2

LCM(834,274) = 228516 / 2

LCM(834,274) = 114258


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 5349/834, 9188/274

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 5349/834, 9188/274?

Answer: GCF of Numerators as per given numbers 5349/834, 9188/274 is

GCF of Numerators i.e. for 5349,9188 is 1

LCM of denominators i.e. for 834,274 is 114258.

Thus, GCF of Fractions is 1/114258.Finally, GCF of Fractions for 5349/834, 9188/274 is 1/114258.