Greatest Common Factor of 2/80, 10/72, 18/560, 905/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/80, 10/72, 18/560, 905/513

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 2/80,10/72,18/560,905/513

Given fractions are 2/80,10/72,18/560,905/513

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 2,10,18,905

Greatest Common Factor of Numerators i.e. GCF of 2,10,18,905 is 1 .

LCM of Denominators means LCM of 80,72,560,513 as per the given fractions.

LCM of 80,72,560,513 is 287280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,10,18,905

GCF of Fractions 2/80,10/72,18/560,905/513 is 1/287280

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

Greatest Common Factor of 2,10,18,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,10,18,905 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 2,10,18,905 . The biggest common factor number is the GCF number.
So the greatest common factor 2,10,18,905 is 1.

Lets's calculate LCM of 80,72,560,513

2 80, 72, 560, 513
2 40, 36, 280, 513
2 20, 18, 140, 513
2 10, 9, 70, 513
3 5, 9, 35, 513
3 5, 3, 35, 171
5 5, 1, 35, 57
1, 1, 7, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 1 x 7 x 57 = 287280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287280

Therefore, the GCF of Fractions 2/80,10/72,18/560,905/513 is 1/287280

Least Common Multiple of 80,72,560,513 with GCF Formula

Least Common Multiple of 80,72,560,513 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 80,72,560,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,72,560,513) = 1

common factors(in case of two or more numbers have common factors) = 5760

GCF(80,72,560,513) x common factors =1 x 5760 = 5760

LCM(80,72,560,513) = ( 80 × 72 × 560 × 513 ) / 5760

LCM(80,72,560,513) = 1654732800 / 5760

LCM(80,72,560,513) = 287280


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 2/80, 10/72, 18/560, 905/513

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 2/80, 10/72, 18/560, 905/513?

Answer: GCF of Numerators as per given numbers 2/80, 10/72, 18/560, 905/513 is

GCF of Numerators i.e. for 2,10,18,905 is 1

LCM of denominators i.e. for 80,72,560,513 is 287280.

Thus, GCF of Fractions is 1/287280.Finally, GCF of Fractions for 2/80, 10/72, 18/560, 905/513 is 1/287280.