Greatest Common Factor of 80/543, 846/660, 130/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/543, 846/660, 130/449

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 80/543,846/660,130/449

Given fractions are 80/543,846/660,130/449

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 80,846,130

Greatest Common Factor of Numerators i.e. GCF of 80,846,130 is 2 .

LCM of Denominators means LCM of 543,660,449 as per the given fractions.

LCM of 543,660,449 is 53637540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,846,130

GCF of Fractions 80/543,846/660,130/449 is 2/53637540

2 80, 846, 130
40, 423, 65

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

Greatest Common Factor of 80,846,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,846,130 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 80,846,130 . The biggest common factor number is the GCF number.
So the greatest common factor 80,846,130 is 2.

Lets's calculate LCM of 543,660,449

3 543, 660, 449
181, 220, 449

∴ So the LCM of the given numbers is 3 x 181 x 220 x 449 = 53637540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53637540

Therefore, the GCF of Fractions 80/543,846/660,130/449 is 2/53637540

Least Common Multiple of 543,660,449 with GCF Formula

Least Common Multiple of 543,660,449 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 543,660,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,660,449) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(543,660,449) x common factors =1 x 3 = 3

LCM(543,660,449) = ( 543 × 660 × 449 ) / 3

LCM(543,660,449) = 160912620 / 3

LCM(543,660,449) = 53637540


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 80/543, 846/660, 130/449

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 80/543, 846/660, 130/449?

Answer: GCF of Numerators as per given numbers 80/543, 846/660, 130/449 is

GCF of Numerators i.e. for 80,846,130 is 2

LCM of denominators i.e. for 543,660,449 is 53637540.

Thus, GCF of Fractions is 2/53637540.Finally, GCF of Fractions for 80/543, 846/660, 130/449 is 2/53637540.