Greatest Common Factor of 433/46, 663/63, 299/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/46, 663/63, 299/50

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 433/46,663/63,299/50

Given fractions are 433/46,663/63,299/50

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 433,663,299

Greatest Common Factor of Numerators i.e. GCF of 433,663,299 is 1 .

LCM of Denominators means LCM of 46,63,50 as per the given fractions.

LCM of 46,63,50 is 72450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,663,299

GCF of Fractions 433/46,663/63,299/50 is 1/72450

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

Greatest Common Factor of 433,663,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,663,299 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

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 433,663,299 . The biggest common factor number is the GCF number.
So the greatest common factor 433,663,299 is 1.

Lets's calculate LCM of 46,63,50

2 46, 63, 50
23, 63, 25

∴ So the LCM of the given numbers is 2 x 23 x 63 x 25 = 72450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72450

Therefore, the GCF of Fractions 433/46,663/63,299/50 is 1/72450

Least Common Multiple of 46,63,50 with GCF Formula

Least Common Multiple of 46,63,50 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 46,63,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,63,50) = 1

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

GCF(46,63,50) x common factors =1 x 2 = 2

LCM(46,63,50) = ( 46 × 63 × 50 ) / 2

LCM(46,63,50) = 144900 / 2

LCM(46,63,50) = 72450


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 433/46, 663/63, 299/50

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 433/46, 663/63, 299/50?

Answer: GCF of Numerators as per given numbers 433/46, 663/63, 299/50 is

GCF of Numerators i.e. for 433,663,299 is 1

LCM of denominators i.e. for 46,63,50 is 72450.

Thus, GCF of Fractions is 1/72450.Finally, GCF of Fractions for 433/46, 663/63, 299/50 is 1/72450.