Greatest Common Factor of 663/402, 9906/2930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/402, 9906/2930

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 663/402,9906/2930

Given fractions are 663/402,9906/2930

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 663,9906

Greatest Common Factor of Numerators i.e. GCF of 663,9906 is 39 .

LCM of Denominators means LCM of 402,2930 as per the given fractions.

LCM of 402,2930 is 588930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,9906

GCF of Fractions 663/402,9906/2930 is 39/588930

3 663, 9906
13 221, 3302
17, 254

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 663,9906 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,9906 By Matching Biggest Common Factor Method

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 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Greatest Common Factor

We found the factors 663,9906 . The biggest common factor number is the GCF number.
So the greatest common factor 663,9906 is 39.

Lets's calculate LCM of 402,2930

2 402, 2930
201, 1465

∴ So the LCM of the given numbers is 2 x 201 x 1465 = 588930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/588930

Therefore, the GCF of Fractions 663/402,9906/2930 is 39/588930

Least Common Multiple of 402,2930 with GCF Formula

Least Common Multiple of 402,2930 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 402,2930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,2930) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(402,2930) x common factors =2 x 1 = 2

LCM(402,2930) = ( 402 × 2930 ) / 2

LCM(402,2930) = 1177860 / 2

LCM(402,2930) = 588930


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 663/402, 9906/2930

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 663/402, 9906/2930?

Answer: GCF of Numerators as per given numbers 663/402, 9906/2930 is

GCF of Numerators i.e. for 663,9906 is 39

LCM of denominators i.e. for 402,2930 is 588930.

Thus, GCF of Fractions is 39/588930.Finally, GCF of Fractions for 663/402, 9906/2930 is 39/588930.