Greatest Common Factor of 91/476, 23/300, 194/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/476, 23/300, 194/287

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 91/476,23/300,194/287

Given fractions are 91/476,23/300,194/287

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 91,23,194

Greatest Common Factor of Numerators i.e. GCF of 91,23,194 is 1 .

LCM of Denominators means LCM of 476,300,287 as per the given fractions.

LCM of 476,300,287 is 1463700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,23,194

GCF of Fractions 91/476,23/300,194/287 is 1/1463700

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

Greatest Common Factor of 91,23,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,23,194 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 91,23,194 . The biggest common factor number is the GCF number.
So the greatest common factor 91,23,194 is 1.

Lets's calculate LCM of 476,300,287

2 476, 300, 287
2 238, 150, 287
7 119, 75, 287
17, 75, 41

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 75 x 41 = 1463700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1463700

Therefore, the GCF of Fractions 91/476,23/300,194/287 is 1/1463700

Least Common Multiple of 476,300,287 with GCF Formula

Least Common Multiple of 476,300,287 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 476,300,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,300,287) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(476,300,287) x common factors =1 x 28 = 28

LCM(476,300,287) = ( 476 × 300 × 287 ) / 28

LCM(476,300,287) = 40983600 / 28

LCM(476,300,287) = 1463700


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 91/476, 23/300, 194/287

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 91/476, 23/300, 194/287?

Answer: GCF of Numerators as per given numbers 91/476, 23/300, 194/287 is

GCF of Numerators i.e. for 91,23,194 is 1

LCM of denominators i.e. for 476,300,287 is 1463700.

Thus, GCF of Fractions is 1/1463700.Finally, GCF of Fractions for 91/476, 23/300, 194/287 is 1/1463700.