Greatest Common Factor of 3247/304, 2728/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3247/304, 2728/421

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 3247/304,2728/421

Given fractions are 3247/304,2728/421

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 3247,2728

Greatest Common Factor of Numerators i.e. GCF of 3247,2728 is 1 .

LCM of Denominators means LCM of 304,421 as per the given fractions.

LCM of 304,421 is 127984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3247,2728

GCF of Fractions 3247/304,2728/421 is 1/127984

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

Greatest Common Factor of 3247,2728 By Matching Biggest Common Factor Method

Greatest Common Factor of 3247,2728 By Matching Biggest Common Factor Method

Factors of 3247

List of positive integer factors of 3247 that divides 3247 without a remainder.

1,17,191,3247

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors 3247,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 3247,2728 is 1.

Lets's calculate LCM of 304,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 127984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127984

Therefore, the GCF of Fractions 3247/304,2728/421 is 1/127984

Least Common Multiple of 304,421 with GCF Formula

Least Common Multiple of 304,421 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 304,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,421) = 1

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

GCF(304,421) x common factors =1 x 1 = 1

LCM(304,421) = ( 304 × 421 ) / 1

LCM(304,421) = 127984 / 1

LCM(304,421) = 127984


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 3247/304, 2728/421

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 3247/304, 2728/421?

Answer: GCF of Numerators as per given numbers 3247/304, 2728/421 is

GCF of Numerators i.e. for 3247,2728 is 1

LCM of denominators i.e. for 304,421 is 127984.

Thus, GCF of Fractions is 1/127984.Finally, GCF of Fractions for 3247/304, 2728/421 is 1/127984.