Greatest Common Factor of 497/99, 133/14, 819/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 497/99, 133/14, 819/511

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 497/99,133/14,819/511

Given fractions are 497/99,133/14,819/511

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 497,133,819

Greatest Common Factor of Numerators i.e. GCF of 497,133,819 is 7 .

LCM of Denominators means LCM of 99,14,511 as per the given fractions.

LCM of 99,14,511 is 101178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,133,819

GCF of Fractions 497/99,133/14,819/511 is 7/101178

7 497, 133, 819
71, 19, 117

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 497,133,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,133,819 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 497,133,819 . The biggest common factor number is the GCF number.
So the greatest common factor 497,133,819 is 7.

Lets's calculate LCM of 99,14,511

7 99, 14, 511
99, 2, 73

∴ So the LCM of the given numbers is 7 x 99 x 2 x 73 = 101178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/101178

Therefore, the GCF of Fractions 497/99,133/14,819/511 is 7/101178

Least Common Multiple of 99,14,511 with GCF Formula

Least Common Multiple of 99,14,511 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 99,14,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,14,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(99,14,511) x common factors =1 x 7 = 7

LCM(99,14,511) = ( 99 × 14 × 511 ) / 7

LCM(99,14,511) = 708246 / 7

LCM(99,14,511) = 101178


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 497/99, 133/14, 819/511

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 497/99, 133/14, 819/511?

Answer: GCF of Numerators as per given numbers 497/99, 133/14, 819/511 is

GCF of Numerators i.e. for 497,133,819 is 7

LCM of denominators i.e. for 99,14,511 is 101178.

Thus, GCF of Fractions is 7/101178.Finally, GCF of Fractions for 497/99, 133/14, 819/511 is 7/101178.