Greatest Common Factor of 27/98, 83/63, 663/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/98, 83/63, 663/429

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 27/98,83/63,663/429

Given fractions are 27/98,83/63,663/429

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 27,83,663

Greatest Common Factor of Numerators i.e. GCF of 27,83,663 is 1 .

LCM of Denominators means LCM of 98,63,429 as per the given fractions.

LCM of 98,63,429 is 126126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,83,663

GCF of Fractions 27/98,83/63,663/429 is 1/126126

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

Greatest Common Factor of 27,83,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,83,663 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 663

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

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

Greatest Common Factor

We found the factors 27,83,663 . The biggest common factor number is the GCF number.
So the greatest common factor 27,83,663 is 1.

Lets's calculate LCM of 98,63,429

3 98, 63, 429
7 98, 21, 143
14, 3, 143

∴ So the LCM of the given numbers is 3 x 7 x 14 x 3 x 143 = 126126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126126

Therefore, the GCF of Fractions 27/98,83/63,663/429 is 1/126126

Least Common Multiple of 98,63,429 with GCF Formula

Least Common Multiple of 98,63,429 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 98,63,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,63,429) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(98,63,429) x common factors =1 x 21 = 21

LCM(98,63,429) = ( 98 × 63 × 429 ) / 21

LCM(98,63,429) = 2648646 / 21

LCM(98,63,429) = 126126


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 27/98, 83/63, 663/429

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 27/98, 83/63, 663/429?

Answer: GCF of Numerators as per given numbers 27/98, 83/63, 663/429 is

GCF of Numerators i.e. for 27,83,663 is 1

LCM of denominators i.e. for 98,63,429 is 126126.

Thus, GCF of Fractions is 1/126126.Finally, GCF of Fractions for 27/98, 83/63, 663/429 is 1/126126.