Greatest Common Factor of 115/15, 853/81, 208/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/15, 853/81, 208/586

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 115/15,853/81,208/586

Given fractions are 115/15,853/81,208/586

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 115,853,208

Greatest Common Factor of Numerators i.e. GCF of 115,853,208 is 1 .

LCM of Denominators means LCM of 15,81,586 as per the given fractions.

LCM of 15,81,586 is 237330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,853,208

GCF of Fractions 115/15,853/81,208/586 is 1/237330

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

Greatest Common Factor of 115,853,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,853,208 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 115,853,208 . The biggest common factor number is the GCF number.
So the greatest common factor 115,853,208 is 1.

Lets's calculate LCM of 15,81,586

3 15, 81, 586
5, 27, 586

∴ So the LCM of the given numbers is 3 x 5 x 27 x 586 = 237330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237330

Therefore, the GCF of Fractions 115/15,853/81,208/586 is 1/237330

Least Common Multiple of 15,81,586 with GCF Formula

Least Common Multiple of 15,81,586 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 15,81,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,81,586) = 1

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

GCF(15,81,586) x common factors =1 x 3 = 3

LCM(15,81,586) = ( 15 × 81 × 586 ) / 3

LCM(15,81,586) = 711990 / 3

LCM(15,81,586) = 237330


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 115/15, 853/81, 208/586

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 115/15, 853/81, 208/586?

Answer: GCF of Numerators as per given numbers 115/15, 853/81, 208/586 is

GCF of Numerators i.e. for 115,853,208 is 1

LCM of denominators i.e. for 15,81,586 is 237330.

Thus, GCF of Fractions is 1/237330.Finally, GCF of Fractions for 115/15, 853/81, 208/586 is 1/237330.