Greatest Common Factor of 7472/354, 8183/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7472/354, 8183/174

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 7472/354,8183/174

Given fractions are 7472/354,8183/174

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 7472,8183

Greatest Common Factor of Numerators i.e. GCF of 7472,8183 is 1 .

LCM of Denominators means LCM of 354,174 as per the given fractions.

LCM of 354,174 is 10266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7472,8183

GCF of Fractions 7472/354,8183/174 is 1/10266

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

Greatest Common Factor of 7472,8183 By Matching Biggest Common Factor Method

Greatest Common Factor of 7472,8183 By Matching Biggest Common Factor Method

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Factors of 8183

List of positive integer factors of 8183 that divides 8183 without a remainder.

1,7,49,167,1169,8183

Greatest Common Factor

We found the factors 7472,8183 . The biggest common factor number is the GCF number.
So the greatest common factor 7472,8183 is 1.

Lets's calculate LCM of 354,174

2 354, 174
3 177, 87
59, 29

∴ So the LCM of the given numbers is 2 x 3 x 59 x 29 = 10266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10266

Therefore, the GCF of Fractions 7472/354,8183/174 is 1/10266

Least Common Multiple of 354,174 with GCF Formula

Least Common Multiple of 354,174 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 354,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,174) = 6

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

GCF(354,174) x common factors =6 x 1 = 6

LCM(354,174) = ( 354 × 174 ) / 6

LCM(354,174) = 61596 / 6

LCM(354,174) = 10266


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 7472/354, 8183/174

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 7472/354, 8183/174?

Answer: GCF of Numerators as per given numbers 7472/354, 8183/174 is

GCF of Numerators i.e. for 7472,8183 is 1

LCM of denominators i.e. for 354,174 is 10266.

Thus, GCF of Fractions is 1/10266.Finally, GCF of Fractions for 7472/354, 8183/174 is 1/10266.