Greatest Common Factor of 549/80, 273/61, 238/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/80, 273/61, 238/399

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 549/80,273/61,238/399

Given fractions are 549/80,273/61,238/399

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 549,273,238

Greatest Common Factor of Numerators i.e. GCF of 549,273,238 is 1 .

LCM of Denominators means LCM of 80,61,399 as per the given fractions.

LCM of 80,61,399 is 1947120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,273,238

GCF of Fractions 549/80,273/61,238/399 is 1/1947120

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

Greatest Common Factor of 549,273,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,273,238 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 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 549,273,238 . The biggest common factor number is the GCF number.
So the greatest common factor 549,273,238 is 1.

Lets's calculate LCM of 80,61,399

Given numbers has no common factors except 1. So, there LCM is their product i.e 1947120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1947120

Therefore, the GCF of Fractions 549/80,273/61,238/399 is 1/1947120

Least Common Multiple of 80,61,399 with GCF Formula

Least Common Multiple of 80,61,399 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 80,61,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,61,399) = 1

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

GCF(80,61,399) x common factors =1 x 1 = 1

LCM(80,61,399) = ( 80 × 61 × 399 ) / 1

LCM(80,61,399) = 1947120 / 1

LCM(80,61,399) = 1947120


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 549/80, 273/61, 238/399

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 549/80, 273/61, 238/399?

Answer: GCF of Numerators as per given numbers 549/80, 273/61, 238/399 is

GCF of Numerators i.e. for 549,273,238 is 1

LCM of denominators i.e. for 80,61,399 is 1947120.

Thus, GCF of Fractions is 1/1947120.Finally, GCF of Fractions for 549/80, 273/61, 238/399 is 1/1947120.