Greatest Common Factor of 92/338, 543/262, 209/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/338, 543/262, 209/455

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 92/338,543/262,209/455

Given fractions are 92/338,543/262,209/455

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 92,543,209

Greatest Common Factor of Numerators i.e. GCF of 92,543,209 is 1 .

LCM of Denominators means LCM of 338,262,455 as per the given fractions.

LCM of 338,262,455 is 1549730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,543,209

GCF of Fractions 92/338,543/262,209/455 is 1/1549730

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

Greatest Common Factor of 92,543,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,543,209 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 92,543,209 . The biggest common factor number is the GCF number.
So the greatest common factor 92,543,209 is 1.

Lets's calculate LCM of 338,262,455

2 338, 262, 455
13 169, 131, 455
13, 131, 35

∴ So the LCM of the given numbers is 2 x 13 x 13 x 131 x 35 = 1549730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1549730

Therefore, the GCF of Fractions 92/338,543/262,209/455 is 1/1549730

Least Common Multiple of 338,262,455 with GCF Formula

Least Common Multiple of 338,262,455 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 338,262,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,262,455) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(338,262,455) x common factors =1 x 26 = 26

LCM(338,262,455) = ( 338 × 262 × 455 ) / 26

LCM(338,262,455) = 40292980 / 26

LCM(338,262,455) = 1549730


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 92/338, 543/262, 209/455

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 92/338, 543/262, 209/455?

Answer: GCF of Numerators as per given numbers 92/338, 543/262, 209/455 is

GCF of Numerators i.e. for 92,543,209 is 1

LCM of denominators i.e. for 338,262,455 is 1549730.

Thus, GCF of Fractions is 1/1549730.Finally, GCF of Fractions for 92/338, 543/262, 209/455 is 1/1549730.