Greatest Common Factor of 99/82, 95/40, 998/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/82, 95/40, 998/479

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 99/82,95/40,998/479

Given fractions are 99/82,95/40,998/479

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 99,95,998

Greatest Common Factor of Numerators i.e. GCF of 99,95,998 is 1 .

LCM of Denominators means LCM of 82,40,479 as per the given fractions.

LCM of 82,40,479 is 785560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,95,998

GCF of Fractions 99/82,95/40,998/479 is 1/785560

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

Greatest Common Factor of 99,95,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,95,998 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 99,95,998 . The biggest common factor number is the GCF number.
So the greatest common factor 99,95,998 is 1.

Lets's calculate LCM of 82,40,479

2 82, 40, 479
41, 20, 479

∴ So the LCM of the given numbers is 2 x 41 x 20 x 479 = 785560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785560

Therefore, the GCF of Fractions 99/82,95/40,998/479 is 1/785560

Least Common Multiple of 82,40,479 with GCF Formula

Least Common Multiple of 82,40,479 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 82,40,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,40,479) = 1

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

GCF(82,40,479) x common factors =1 x 2 = 2

LCM(82,40,479) = ( 82 × 40 × 479 ) / 2

LCM(82,40,479) = 1571120 / 2

LCM(82,40,479) = 785560


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 99/82, 95/40, 998/479

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 99/82, 95/40, 998/479?

Answer: GCF of Numerators as per given numbers 99/82, 95/40, 998/479 is

GCF of Numerators i.e. for 99,95,998 is 1

LCM of denominators i.e. for 82,40,479 is 785560.

Thus, GCF of Fractions is 1/785560.Finally, GCF of Fractions for 99/82, 95/40, 998/479 is 1/785560.