Greatest Common Factor of 187/867, 4845/5644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 187/867, 4845/5644

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 187/867,4845/5644

Given fractions are 187/867,4845/5644

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 187,4845

Greatest Common Factor of Numerators i.e. GCF of 187,4845 is 17 .

LCM of Denominators means LCM of 867,5644 as per the given fractions.

LCM of 867,5644 is 287844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 187,4845

GCF of Fractions 187/867,4845/5644 is 17/287844

17 187, 4845
11, 285

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 187,4845 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,4845 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845

Greatest Common Factor

We found the factors 187,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 187,4845 is 17.

Lets's calculate LCM of 867,5644

17 867, 5644
51, 332

∴ So the LCM of the given numbers is 17 x 51 x 332 = 287844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/287844

Therefore, the GCF of Fractions 187/867,4845/5644 is 17/287844

Least Common Multiple of 867,5644 with GCF Formula

Least Common Multiple of 867,5644 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 867,5644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,5644) = 17

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

GCF(867,5644) x common factors =17 x 1 = 17

LCM(867,5644) = ( 867 × 5644 ) / 17

LCM(867,5644) = 4893348 / 17

LCM(867,5644) = 287844


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 187/867, 4845/5644

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 187/867, 4845/5644?

Answer: GCF of Numerators as per given numbers 187/867, 4845/5644 is

GCF of Numerators i.e. for 187,4845 is 17

LCM of denominators i.e. for 867,5644 is 287844.

Thus, GCF of Fractions is 17/287844.Finally, GCF of Fractions for 187/867, 4845/5644 is 17/287844.