Greatest Common Factor of 349/358, 6174/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/358, 6174/886

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 349/358,6174/886

Given fractions are 349/358,6174/886

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 349,6174

Greatest Common Factor of Numerators i.e. GCF of 349,6174 is 1 .

LCM of Denominators means LCM of 358,886 as per the given fractions.

LCM of 358,886 is 158594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,6174

GCF of Fractions 349/358,6174/886 is 1/158594

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

Greatest Common Factor of 349,6174 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,6174 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 6174

List of positive integer factors of 6174 that divides 6174 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174

Greatest Common Factor

We found the factors 349,6174 . The biggest common factor number is the GCF number.
So the greatest common factor 349,6174 is 1.

Lets's calculate LCM of 358,886

2 358, 886
179, 443

∴ So the LCM of the given numbers is 2 x 179 x 443 = 158594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158594

Therefore, the GCF of Fractions 349/358,6174/886 is 1/158594

Least Common Multiple of 358,886 with GCF Formula

Least Common Multiple of 358,886 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 358,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,886) = 2

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

GCF(358,886) x common factors =2 x 1 = 2

LCM(358,886) = ( 358 × 886 ) / 2

LCM(358,886) = 317188 / 2

LCM(358,886) = 158594


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 349/358, 6174/886

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 349/358, 6174/886?

Answer: GCF of Numerators as per given numbers 349/358, 6174/886 is

GCF of Numerators i.e. for 349,6174 is 1

LCM of denominators i.e. for 358,886 is 158594.

Thus, GCF of Fractions is 1/158594.Finally, GCF of Fractions for 349/358, 6174/886 is 1/158594.