Greatest Common Factor of 286/44, 743/13, 602/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/44, 743/13, 602/366

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 286/44,743/13,602/366

Given fractions are 286/44,743/13,602/366

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 286,743,602

Greatest Common Factor of Numerators i.e. GCF of 286,743,602 is 1 .

LCM of Denominators means LCM of 44,13,366 as per the given fractions.

LCM of 44,13,366 is 104676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,743,602

GCF of Fractions 286/44,743/13,602/366 is 1/104676

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

Greatest Common Factor of 286,743,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,743,602 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 286,743,602 . The biggest common factor number is the GCF number.
So the greatest common factor 286,743,602 is 1.

Lets's calculate LCM of 44,13,366

2 44, 13, 366
22, 13, 183

∴ So the LCM of the given numbers is 2 x 22 x 13 x 183 = 104676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104676

Therefore, the GCF of Fractions 286/44,743/13,602/366 is 1/104676

Least Common Multiple of 44,13,366 with GCF Formula

Least Common Multiple of 44,13,366 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 44,13,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,13,366) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,13,366) x common factors =1 x 2 = 2

LCM(44,13,366) = ( 44 × 13 × 366 ) / 2

LCM(44,13,366) = 209352 / 2

LCM(44,13,366) = 104676


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 286/44, 743/13, 602/366

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 286/44, 743/13, 602/366?

Answer: GCF of Numerators as per given numbers 286/44, 743/13, 602/366 is

GCF of Numerators i.e. for 286,743,602 is 1

LCM of denominators i.e. for 44,13,366 is 104676.

Thus, GCF of Fractions is 1/104676.Finally, GCF of Fractions for 286/44, 743/13, 602/366 is 1/104676.