Greatest Common Factor of 8830/253, 3332/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8830/253, 3332/176

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 8830/253,3332/176

Given fractions are 8830/253,3332/176

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 8830,3332

Greatest Common Factor of Numerators i.e. GCF of 8830,3332 is 2 .

LCM of Denominators means LCM of 253,176 as per the given fractions.

LCM of 253,176 is 4048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8830,3332

GCF of Fractions 8830/253,3332/176 is 2/4048

2 8830, 3332
4415, 1666

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8830,3332 By Matching Biggest Common Factor Method

Greatest Common Factor of 8830,3332 By Matching Biggest Common Factor Method

Factors of 8830

List of positive integer factors of 8830 that divides 8830 without a remainder.

1,2,5,10,883,1766,4415,8830

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332

Greatest Common Factor

We found the factors 8830,3332 . The biggest common factor number is the GCF number.
So the greatest common factor 8830,3332 is 2.

Lets's calculate LCM of 253,176

11 253, 176
23, 16

∴ So the LCM of the given numbers is 11 x 23 x 16 = 4048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4048

Therefore, the GCF of Fractions 8830/253,3332/176 is 2/4048

Least Common Multiple of 253,176 with GCF Formula

Least Common Multiple of 253,176 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 253,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,176) = 11

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

GCF(253,176) x common factors =11 x 1 = 11

LCM(253,176) = ( 253 × 176 ) / 11

LCM(253,176) = 44528 / 11

LCM(253,176) = 4048


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 8830/253, 3332/176

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 8830/253, 3332/176?

Answer: GCF of Numerators as per given numbers 8830/253, 3332/176 is

GCF of Numerators i.e. for 8830,3332 is 2

LCM of denominators i.e. for 253,176 is 4048.

Thus, GCF of Fractions is 2/4048.Finally, GCF of Fractions for 8830/253, 3332/176 is 2/4048.