Greatest Common Factor of 2816/442, 8808/2115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2816/442, 8808/2115

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 2816/442,8808/2115

Given fractions are 2816/442,8808/2115

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 2816,8808

Greatest Common Factor of Numerators i.e. GCF of 2816,8808 is 8 .

LCM of Denominators means LCM of 442,2115 as per the given fractions.

LCM of 442,2115 is 934830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2816,8808

GCF of Fractions 2816/442,8808/2115 is 8/934830

2 2816, 8808
2 1408, 4404
2 704, 2202
352, 1101

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2816,8808 By Matching Biggest Common Factor Method

Greatest Common Factor of 2816,8808 By Matching Biggest Common Factor Method

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816

Factors of 8808

List of positive integer factors of 8808 that divides 8808 without a remainder.

1,2,3,4,6,8,12,24,367,734,1101,1468,2202,2936,4404,8808

Greatest Common Factor

We found the factors 2816,8808 . The biggest common factor number is the GCF number.
So the greatest common factor 2816,8808 is 8.

Lets's calculate LCM of 442,2115

Given numbers has no common factors except 1. So, there LCM is their product i.e 934830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/934830

Therefore, the GCF of Fractions 2816/442,8808/2115 is 8/934830

Least Common Multiple of 442,2115 with GCF Formula

Least Common Multiple of 442,2115 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 442,2115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,2115) = 1

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

GCF(442,2115) x common factors =1 x 1 = 1

LCM(442,2115) = ( 442 × 2115 ) / 1

LCM(442,2115) = 934830 / 1

LCM(442,2115) = 934830


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 2816/442, 8808/2115

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 2816/442, 8808/2115?

Answer: GCF of Numerators as per given numbers 2816/442, 8808/2115 is

GCF of Numerators i.e. for 2816,8808 is 8

LCM of denominators i.e. for 442,2115 is 934830.

Thus, GCF of Fractions is 8/934830.Finally, GCF of Fractions for 2816/442, 8808/2115 is 8/934830.