Greatest Common Factor of 7170/23, 8412/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7170/23, 8412/297

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 7170/23,8412/297

Given fractions are 7170/23,8412/297

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 7170,8412

Greatest Common Factor of Numerators i.e. GCF of 7170,8412 is 6 .

LCM of Denominators means LCM of 23,297 as per the given fractions.

LCM of 23,297 is 6831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7170,8412

GCF of Fractions 7170/23,8412/297 is 6/6831

2 7170, 8412
3 3585, 4206
1195, 1402

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

Greatest Common Factor of 7170,8412 By Matching Biggest Common Factor Method

Greatest Common Factor of 7170,8412 By Matching Biggest Common Factor Method

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors 7170,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 7170,8412 is 6.

Lets's calculate LCM of 23,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 6831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6831

Therefore, the GCF of Fractions 7170/23,8412/297 is 6/6831

Least Common Multiple of 23,297 with GCF Formula

Least Common Multiple of 23,297 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 23,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,297) = 1

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

GCF(23,297) x common factors =1 x 1 = 1

LCM(23,297) = ( 23 × 297 ) / 1

LCM(23,297) = 6831 / 1

LCM(23,297) = 6831


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 7170/23, 8412/297

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 7170/23, 8412/297?

Answer: GCF of Numerators as per given numbers 7170/23, 8412/297 is

GCF of Numerators i.e. for 7170,8412 is 6

LCM of denominators i.e. for 23,297 is 6831.

Thus, GCF of Fractions is 6/6831.Finally, GCF of Fractions for 7170/23, 8412/297 is 6/6831.