Greatest Common Factor of 547/81, 1988/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 547/81, 1988/978

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 547/81,1988/978

Given fractions are 547/81,1988/978

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 547,1988

Greatest Common Factor of Numerators i.e. GCF of 547,1988 is 1 .

LCM of Denominators means LCM of 81,978 as per the given fractions.

LCM of 81,978 is 26406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 547,1988

GCF of Fractions 547/81,1988/978 is 1/26406

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

Greatest Common Factor of 547,1988 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,1988 By Matching Biggest Common Factor Method

Factors of 547

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

1,547

Factors of 1988

List of positive integer factors of 1988 that divides 1988 without a remainder.

1,2,4,7,14,28,71,142,284,497,994,1988

Greatest Common Factor

We found the factors 547,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 547,1988 is 1.

Lets's calculate LCM of 81,978

3 81, 978
27, 326

∴ So the LCM of the given numbers is 3 x 27 x 326 = 26406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26406

Therefore, the GCF of Fractions 547/81,1988/978 is 1/26406

Least Common Multiple of 81,978 with GCF Formula

Least Common Multiple of 81,978 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 81,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,978) = 3

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

GCF(81,978) x common factors =3 x 1 = 3

LCM(81,978) = ( 81 × 978 ) / 3

LCM(81,978) = 79218 / 3

LCM(81,978) = 26406


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 547/81, 1988/978

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 547/81, 1988/978?

Answer: GCF of Numerators as per given numbers 547/81, 1988/978 is

GCF of Numerators i.e. for 547,1988 is 1

LCM of denominators i.e. for 81,978 is 26406.

Thus, GCF of Fractions is 1/26406.Finally, GCF of Fractions for 547/81, 1988/978 is 1/26406.