Greatest Common Factor of 365/273, 199/759, 773/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/273, 199/759, 773/265

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 365/273,199/759,773/265

Given fractions are 365/273,199/759,773/265

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 365,199,773

Greatest Common Factor of Numerators i.e. GCF of 365,199,773 is 1 .

LCM of Denominators means LCM of 273,759,265 as per the given fractions.

LCM of 273,759,265 is 18303285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,199,773

GCF of Fractions 365/273,199/759,773/265 is 1/18303285

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

Greatest Common Factor of 365,199,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,199,773 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 365,199,773 . The biggest common factor number is the GCF number.
So the greatest common factor 365,199,773 is 1.

Lets's calculate LCM of 273,759,265

3 273, 759, 265
91, 253, 265

∴ So the LCM of the given numbers is 3 x 91 x 253 x 265 = 18303285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18303285

Therefore, the GCF of Fractions 365/273,199/759,773/265 is 1/18303285

Least Common Multiple of 273,759,265 with GCF Formula

Least Common Multiple of 273,759,265 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 273,759,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,759,265) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(273,759,265) x common factors =1 x 3 = 3

LCM(273,759,265) = ( 273 × 759 × 265 ) / 3

LCM(273,759,265) = 54909855 / 3

LCM(273,759,265) = 18303285


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 365/273, 199/759, 773/265

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 365/273, 199/759, 773/265?

Answer: GCF of Numerators as per given numbers 365/273, 199/759, 773/265 is

GCF of Numerators i.e. for 365,199,773 is 1

LCM of denominators i.e. for 273,759,265 is 18303285.

Thus, GCF of Fractions is 1/18303285.Finally, GCF of Fractions for 365/273, 199/759, 773/265 is 1/18303285.