Greatest Common Factor of 5646/47, 7992/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5646/47, 7992/873

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 5646/47,7992/873

Given fractions are 5646/47,7992/873

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 5646,7992

Greatest Common Factor of Numerators i.e. GCF of 5646,7992 is 6 .

LCM of Denominators means LCM of 47,873 as per the given fractions.

LCM of 47,873 is 41031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5646,7992

GCF of Fractions 5646/47,7992/873 is 6/41031

2 5646, 7992
3 2823, 3996
941, 1332

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5646,7992 By Matching Biggest Common Factor Method

Greatest Common Factor of 5646,7992 By Matching Biggest Common Factor Method

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1,2,3,6,941,1882,2823,5646

Factors of 7992

List of positive integer factors of 7992 that divides 7992 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992

Greatest Common Factor

We found the factors 5646,7992 . The biggest common factor number is the GCF number.
So the greatest common factor 5646,7992 is 6.

Lets's calculate LCM of 47,873

Given numbers has no common factors except 1. So, there LCM is their product i.e 41031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/41031

Therefore, the GCF of Fractions 5646/47,7992/873 is 6/41031

Least Common Multiple of 47,873 with GCF Formula

Least Common Multiple of 47,873 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 47,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,873) = 1

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

GCF(47,873) x common factors =1 x 1 = 1

LCM(47,873) = ( 47 × 873 ) / 1

LCM(47,873) = 41031 / 1

LCM(47,873) = 41031


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 5646/47, 7992/873

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 5646/47, 7992/873?

Answer: GCF of Numerators as per given numbers 5646/47, 7992/873 is

GCF of Numerators i.e. for 5646,7992 is 6

LCM of denominators i.e. for 47,873 is 41031.

Thus, GCF of Fractions is 6/41031.Finally, GCF of Fractions for 5646/47, 7992/873 is 6/41031.