Greatest Common Factor of 271/94, 736/28, 274/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/94, 736/28, 274/63

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 271/94,736/28,274/63

Given fractions are 271/94,736/28,274/63

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 271,736,274

Greatest Common Factor of Numerators i.e. GCF of 271,736,274 is 1 .

LCM of Denominators means LCM of 94,28,63 as per the given fractions.

LCM of 94,28,63 is 11844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,736,274

GCF of Fractions 271/94,736/28,274/63 is 1/11844

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

Greatest Common Factor of 271,736,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,736,274 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 271,736,274 . The biggest common factor number is the GCF number.
So the greatest common factor 271,736,274 is 1.

Lets's calculate LCM of 94,28,63

2 94, 28, 63
7 47, 14, 63
47, 2, 9

∴ So the LCM of the given numbers is 2 x 7 x 47 x 2 x 9 = 11844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11844

Therefore, the GCF of Fractions 271/94,736/28,274/63 is 1/11844

Least Common Multiple of 94,28,63 with GCF Formula

Least Common Multiple of 94,28,63 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 94,28,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,28,63) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(94,28,63) x common factors =1 x 14 = 14

LCM(94,28,63) = ( 94 × 28 × 63 ) / 14

LCM(94,28,63) = 165816 / 14

LCM(94,28,63) = 11844


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 271/94, 736/28, 274/63

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 271/94, 736/28, 274/63?

Answer: GCF of Numerators as per given numbers 271/94, 736/28, 274/63 is

GCF of Numerators i.e. for 271,736,274 is 1

LCM of denominators i.e. for 94,28,63 is 11844.

Thus, GCF of Fractions is 1/11844.Finally, GCF of Fractions for 271/94, 736/28, 274/63 is 1/11844.