Greatest Common Factor of 7044/896, 5160/8182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7044/896, 5160/8182

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 7044/896,5160/8182

Given fractions are 7044/896,5160/8182

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 7044,5160

Greatest Common Factor of Numerators i.e. GCF of 7044,5160 is 12 .

LCM of Denominators means LCM of 896,8182 as per the given fractions.

LCM of 896,8182 is 3665536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7044,5160

GCF of Fractions 7044/896,5160/8182 is 12/3665536

2 7044, 5160
2 3522, 2580
3 1761, 1290
587, 430

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

Greatest Common Factor of 7044,5160 By Matching Biggest Common Factor Method

Greatest Common Factor of 7044,5160 By Matching Biggest Common Factor Method

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1,2,3,4,6,12,587,1174,1761,2348,3522,7044

Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160

Greatest Common Factor

We found the factors 7044,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 7044,5160 is 12.

Lets's calculate LCM of 896,8182

2 896, 8182
448, 4091

∴ So the LCM of the given numbers is 2 x 448 x 4091 = 3665536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3665536

Therefore, the GCF of Fractions 7044/896,5160/8182 is 12/3665536

Least Common Multiple of 896,8182 with GCF Formula

Least Common Multiple of 896,8182 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 896,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,8182) = 2

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

GCF(896,8182) x common factors =2 x 1 = 2

LCM(896,8182) = ( 896 × 8182 ) / 2

LCM(896,8182) = 7331072 / 2

LCM(896,8182) = 3665536


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 7044/896, 5160/8182

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 7044/896, 5160/8182?

Answer: GCF of Numerators as per given numbers 7044/896, 5160/8182 is

GCF of Numerators i.e. for 7044,5160 is 12

LCM of denominators i.e. for 896,8182 is 3665536.

Thus, GCF of Fractions is 12/3665536.Finally, GCF of Fractions for 7044/896, 5160/8182 is 12/3665536.