Greatest Common Factor of 5/71, 27/29, 17/271, 547/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/71, 27/29, 17/271, 547/253

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 5/71,27/29,17/271,547/253

Given fractions are 5/71,27/29,17/271,547/253

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 5,27,17,547

Greatest Common Factor of Numerators i.e. GCF of 5,27,17,547 is 1 .

LCM of Denominators means LCM of 71,29,271,253 as per the given fractions.

LCM of 71,29,271,253 is 141171217 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,27,17,547

GCF of Fractions 5/71,27/29,17/271,547/253 is 1/141171217

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

Greatest Common Factor of 5,27,17,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,27,17,547 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 5,27,17,547 . The biggest common factor number is the GCF number.
So the greatest common factor 5,27,17,547 is 1.

Lets's calculate LCM of 71,29,271,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 141171217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141171217

Therefore, the GCF of Fractions 5/71,27/29,17/271,547/253 is 1/141171217

Least Common Multiple of 71,29,271,253 with GCF Formula

Least Common Multiple of 71,29,271,253 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 71,29,271,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,29,271,253) = 1

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

GCF(71,29,271,253) x common factors =1 x 1 = 1

LCM(71,29,271,253) = ( 71 × 29 × 271 × 253 ) / 1

LCM(71,29,271,253) = 141171217 / 1

LCM(71,29,271,253) = 141171217


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 5/71, 27/29, 17/271, 547/253

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 5/71, 27/29, 17/271, 547/253?

Answer: GCF of Numerators as per given numbers 5/71, 27/29, 17/271, 547/253 is

GCF of Numerators i.e. for 5,27,17,547 is 1

LCM of denominators i.e. for 71,29,271,253 is 141171217.

Thus, GCF of Fractions is 1/141171217.Finally, GCF of Fractions for 5/71, 27/29, 17/271, 547/253 is 1/141171217.