Greatest Common Factor of 7164/470, 6816/8729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7164/470, 6816/8729

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 7164/470,6816/8729

Given fractions are 7164/470,6816/8729

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 7164,6816

Greatest Common Factor of Numerators i.e. GCF of 7164,6816 is 12 .

LCM of Denominators means LCM of 470,8729 as per the given fractions.

LCM of 470,8729 is 4102630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7164,6816

GCF of Fractions 7164/470,6816/8729 is 12/4102630

2 7164, 6816
2 3582, 3408
3 1791, 1704
597, 568

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 7164,6816 By Matching Biggest Common Factor Method

Greatest Common Factor of 7164,6816 By Matching Biggest Common Factor Method

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816

Greatest Common Factor

We found the factors 7164,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 7164,6816 is 12.

Lets's calculate LCM of 470,8729

Given numbers has no common factors except 1. So, there LCM is their product i.e 4102630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4102630

Therefore, the GCF of Fractions 7164/470,6816/8729 is 12/4102630

Least Common Multiple of 470,8729 with GCF Formula

Least Common Multiple of 470,8729 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 470,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,8729) = 1

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

GCF(470,8729) x common factors =1 x 1 = 1

LCM(470,8729) = ( 470 × 8729 ) / 1

LCM(470,8729) = 4102630 / 1

LCM(470,8729) = 4102630


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 7164/470, 6816/8729

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 7164/470, 6816/8729?

Answer: GCF of Numerators as per given numbers 7164/470, 6816/8729 is

GCF of Numerators i.e. for 7164,6816 is 12

LCM of denominators i.e. for 470,8729 is 4102630.

Thus, GCF of Fractions is 12/4102630.Finally, GCF of Fractions for 7164/470, 6816/8729 is 12/4102630.