Greatest Common Factor of 8176/864, 7345/2832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8176/864, 7345/2832

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 8176/864,7345/2832

Given fractions are 8176/864,7345/2832

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 8176,7345

Greatest Common Factor of Numerators i.e. GCF of 8176,7345 is 1 .

LCM of Denominators means LCM of 864,2832 as per the given fractions.

LCM of 864,2832 is 50976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8176,7345

GCF of Fractions 8176/864,7345/2832 is 1/50976

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8176,7345 By Matching Biggest Common Factor Method

Greatest Common Factor of 8176,7345 By Matching Biggest Common Factor Method

Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors 8176,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,7345 is 1.

Lets's calculate LCM of 864,2832

2 864, 2832
2 432, 1416
2 216, 708
2 108, 354
3 54, 177
18, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 18 x 59 = 50976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50976

Therefore, the GCF of Fractions 8176/864,7345/2832 is 1/50976

Least Common Multiple of 864,2832 with GCF Formula

Least Common Multiple of 864,2832 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 864,2832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,2832) = 48

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

GCF(864,2832) x common factors =48 x 1 = 48

LCM(864,2832) = ( 864 × 2832 ) / 48

LCM(864,2832) = 2446848 / 48

LCM(864,2832) = 50976


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 8176/864, 7345/2832

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 8176/864, 7345/2832?

Answer: GCF of Numerators as per given numbers 8176/864, 7345/2832 is

GCF of Numerators i.e. for 8176,7345 is 1

LCM of denominators i.e. for 864,2832 is 50976.

Thus, GCF of Fractions is 1/50976.Finally, GCF of Fractions for 8176/864, 7345/2832 is 1/50976.