Greatest Common Factor of 549/38, 817/51, 104/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/38, 817/51, 104/266

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 549/38,817/51,104/266

Given fractions are 549/38,817/51,104/266

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 549,817,104

Greatest Common Factor of Numerators i.e. GCF of 549,817,104 is 1 .

LCM of Denominators means LCM of 38,51,266 as per the given fractions.

LCM of 38,51,266 is 13566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,817,104

GCF of Fractions 549/38,817/51,104/266 is 1/13566

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

Greatest Common Factor of 549,817,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,817,104 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 549,817,104 . The biggest common factor number is the GCF number.
So the greatest common factor 549,817,104 is 1.

Lets's calculate LCM of 38,51,266

2 38, 51, 266
19 19, 51, 133
1, 51, 7

∴ So the LCM of the given numbers is 2 x 19 x 1 x 51 x 7 = 13566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13566

Therefore, the GCF of Fractions 549/38,817/51,104/266 is 1/13566

Least Common Multiple of 38,51,266 with GCF Formula

Least Common Multiple of 38,51,266 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 38,51,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,51,266) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,51,266) x common factors =1 x 38 = 38

LCM(38,51,266) = ( 38 × 51 × 266 ) / 38

LCM(38,51,266) = 515508 / 38

LCM(38,51,266) = 13566


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 549/38, 817/51, 104/266

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 549/38, 817/51, 104/266?

Answer: GCF of Numerators as per given numbers 549/38, 817/51, 104/266 is

GCF of Numerators i.e. for 549,817,104 is 1

LCM of denominators i.e. for 38,51,266 is 13566.

Thus, GCF of Fractions is 1/13566.Finally, GCF of Fractions for 549/38, 817/51, 104/266 is 1/13566.