Greatest Common Factor of 116/72, 234/40, 299/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/72, 234/40, 299/480

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 116/72,234/40,299/480

Given fractions are 116/72,234/40,299/480

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 116,234,299

Greatest Common Factor of Numerators i.e. GCF of 116,234,299 is 1 .

LCM of Denominators means LCM of 72,40,480 as per the given fractions.

LCM of 72,40,480 is 1440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,234,299

GCF of Fractions 116/72,234/40,299/480 is 1/1440

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

Greatest Common Factor of 116,234,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,234,299 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 116,234,299 . The biggest common factor number is the GCF number.
So the greatest common factor 116,234,299 is 1.

Lets's calculate LCM of 72,40,480

2 72, 40, 480
2 36, 20, 240
2 18, 10, 120
3 9, 5, 60
5 3, 5, 20
3, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 1 x 4 = 1440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440

Therefore, the GCF of Fractions 116/72,234/40,299/480 is 1/1440

Least Common Multiple of 72,40,480 with GCF Formula

Least Common Multiple of 72,40,480 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 72,40,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,40,480) = 8

common factors(in case of two or more numbers have common factors) = 120

GCF(72,40,480) x common factors =8 x 120 = 960

LCM(72,40,480) = ( 72 × 40 × 480 ) / 960

LCM(72,40,480) = 1382400 / 960

LCM(72,40,480) = 1440


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 116/72, 234/40, 299/480

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 116/72, 234/40, 299/480?

Answer: GCF of Numerators as per given numbers 116/72, 234/40, 299/480 is

GCF of Numerators i.e. for 116,234,299 is 1

LCM of denominators i.e. for 72,40,480 is 1440.

Thus, GCF of Fractions is 1/1440.Finally, GCF of Fractions for 116/72, 234/40, 299/480 is 1/1440.