Greatest Common Factor of 22/13, 96/86, 458/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/13, 96/86, 458/299

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 22/13,96/86,458/299

Given fractions are 22/13,96/86,458/299

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 22,96,458

Greatest Common Factor of Numerators i.e. GCF of 22,96,458 is 2 .

LCM of Denominators means LCM of 13,86,299 as per the given fractions.

LCM of 13,86,299 is 25714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,96,458

GCF of Fractions 22/13,96/86,458/299 is 2/25714

2 22, 96, 458
11, 48, 229

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

Greatest Common Factor of 22,96,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,96,458 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 22,96,458 . The biggest common factor number is the GCF number.
So the greatest common factor 22,96,458 is 2.

Lets's calculate LCM of 13,86,299

13 13, 86, 299
1, 86, 23

∴ So the LCM of the given numbers is 13 x 1 x 86 x 23 = 25714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25714

Therefore, the GCF of Fractions 22/13,96/86,458/299 is 2/25714

Least Common Multiple of 13,86,299 with GCF Formula

Least Common Multiple of 13,86,299 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 13,86,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,86,299) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,86,299) x common factors =1 x 13 = 13

LCM(13,86,299) = ( 13 × 86 × 299 ) / 13

LCM(13,86,299) = 334282 / 13

LCM(13,86,299) = 25714


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 22/13, 96/86, 458/299

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 22/13, 96/86, 458/299?

Answer: GCF of Numerators as per given numbers 22/13, 96/86, 458/299 is

GCF of Numerators i.e. for 22,96,458 is 2

LCM of denominators i.e. for 13,86,299 is 25714.

Thus, GCF of Fractions is 2/25714.Finally, GCF of Fractions for 22/13, 96/86, 458/299 is 2/25714.