Greatest Common Factor of 469/31, 198/65, 117/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/31, 198/65, 117/45

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 469/31,198/65,117/45

Given fractions are 469/31,198/65,117/45

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 469,198,117

Greatest Common Factor of Numerators i.e. GCF of 469,198,117 is 1 .

LCM of Denominators means LCM of 31,65,45 as per the given fractions.

LCM of 31,65,45 is 18135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,198,117

GCF of Fractions 469/31,198/65,117/45 is 1/18135

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

Greatest Common Factor of 469,198,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,198,117 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 469,198,117 . The biggest common factor number is the GCF number.
So the greatest common factor 469,198,117 is 1.

Lets's calculate LCM of 31,65,45

5 31, 65, 45
31, 13, 9

∴ So the LCM of the given numbers is 5 x 31 x 13 x 9 = 18135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18135

Therefore, the GCF of Fractions 469/31,198/65,117/45 is 1/18135

Least Common Multiple of 31,65,45 with GCF Formula

Least Common Multiple of 31,65,45 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 31,65,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,65,45) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(31,65,45) x common factors =1 x 5 = 5

LCM(31,65,45) = ( 31 × 65 × 45 ) / 5

LCM(31,65,45) = 90675 / 5

LCM(31,65,45) = 18135


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 469/31, 198/65, 117/45

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 469/31, 198/65, 117/45?

Answer: GCF of Numerators as per given numbers 469/31, 198/65, 117/45 is

GCF of Numerators i.e. for 469,198,117 is 1

LCM of denominators i.e. for 31,65,45 is 18135.

Thus, GCF of Fractions is 1/18135.Finally, GCF of Fractions for 469/31, 198/65, 117/45 is 1/18135.