Greatest Common Factor of 176/846, 5643/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 176/846, 5643/828

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 176/846,5643/828

Given fractions are 176/846,5643/828

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 176,5643

Greatest Common Factor of Numerators i.e. GCF of 176,5643 is 11 .

LCM of Denominators means LCM of 846,828 as per the given fractions.

LCM of 846,828 is 38916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 176,5643

GCF of Fractions 176/846,5643/828 is 11/38916

11 176, 5643
16, 513

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 176,5643 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,5643 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643

Greatest Common Factor

We found the factors 176,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 176,5643 is 11.

Lets's calculate LCM of 846,828

2 846, 828
3 423, 414
3 141, 138
47, 46

∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 46 = 38916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/38916

Therefore, the GCF of Fractions 176/846,5643/828 is 11/38916

Least Common Multiple of 846,828 with GCF Formula

Least Common Multiple of 846,828 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 846,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,828) = 18

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

GCF(846,828) x common factors =18 x 1 = 18

LCM(846,828) = ( 846 × 828 ) / 18

LCM(846,828) = 700488 / 18

LCM(846,828) = 38916


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 176/846, 5643/828

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 176/846, 5643/828?

Answer: GCF of Numerators as per given numbers 176/846, 5643/828 is

GCF of Numerators i.e. for 176,5643 is 11

LCM of denominators i.e. for 846,828 is 38916.

Thus, GCF of Fractions is 11/38916.Finally, GCF of Fractions for 176/846, 5643/828 is 11/38916.