Greatest Common Factor of 5603/382, 8028/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5603/382, 8028/174

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 5603/382,8028/174

Given fractions are 5603/382,8028/174

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 5603,8028

Greatest Common Factor of Numerators i.e. GCF of 5603,8028 is 1 .

LCM of Denominators means LCM of 382,174 as per the given fractions.

LCM of 382,174 is 33234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5603,8028

GCF of Fractions 5603/382,8028/174 is 1/33234

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

Greatest Common Factor of 5603,8028 By Matching Biggest Common Factor Method

Greatest Common Factor of 5603,8028 By Matching Biggest Common Factor Method

Factors of 5603

List of positive integer factors of 5603 that divides 5603 without a remainder.

1,13,431,5603

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors 5603,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 5603,8028 is 1.

Lets's calculate LCM of 382,174

2 382, 174
191, 87

∴ So the LCM of the given numbers is 2 x 191 x 87 = 33234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33234

Therefore, the GCF of Fractions 5603/382,8028/174 is 1/33234

Least Common Multiple of 382,174 with GCF Formula

Least Common Multiple of 382,174 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 382,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,174) = 2

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

GCF(382,174) x common factors =2 x 1 = 2

LCM(382,174) = ( 382 × 174 ) / 2

LCM(382,174) = 66468 / 2

LCM(382,174) = 33234


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 5603/382, 8028/174

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 5603/382, 8028/174?

Answer: GCF of Numerators as per given numbers 5603/382, 8028/174 is

GCF of Numerators i.e. for 5603,8028 is 1

LCM of denominators i.e. for 382,174 is 33234.

Thus, GCF of Fractions is 1/33234.Finally, GCF of Fractions for 5603/382, 8028/174 is 1/33234.