Greatest Common Factor of 711/882, 7347/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/882, 7347/864

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 711/882,7347/864

Given fractions are 711/882,7347/864

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 711,7347

Greatest Common Factor of Numerators i.e. GCF of 711,7347 is 237 .

LCM of Denominators means LCM of 882,864 as per the given fractions.

LCM of 882,864 is 42336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,7347

GCF of Fractions 711/882,7347/864 is 237/42336

3 711, 7347
79 237, 2449
3, 31

∴ So the GCF of the given numbers is 3 x 79 = 237

Greatest Common Factor of 711,7347 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,7347 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Greatest Common Factor

We found the factors 711,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 711,7347 is 237.

Lets's calculate LCM of 882,864

2 882, 864
3 441, 432
3 147, 144
49, 48

∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 48 = 42336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 237/42336

Therefore, the GCF of Fractions 711/882,7347/864 is 237/42336

Least Common Multiple of 882,864 with GCF Formula

Least Common Multiple of 882,864 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 882,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,864) = 18

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

GCF(882,864) x common factors =18 x 1 = 18

LCM(882,864) = ( 882 × 864 ) / 18

LCM(882,864) = 762048 / 18

LCM(882,864) = 42336


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 711/882, 7347/864

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 711/882, 7347/864?

Answer: GCF of Numerators as per given numbers 711/882, 7347/864 is

GCF of Numerators i.e. for 711,7347 is 237

LCM of denominators i.e. for 882,864 is 42336.

Thus, GCF of Fractions is 237/42336.Finally, GCF of Fractions for 711/882, 7347/864 is 237/42336.