Greatest Common Factor of 81/52, 39/838, 738/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/52, 39/838, 738/570

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 81/52,39/838,738/570

Given fractions are 81/52,39/838,738/570

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 81,39,738

Greatest Common Factor of Numerators i.e. GCF of 81,39,738 is 3 .

LCM of Denominators means LCM of 52,838,570 as per the given fractions.

LCM of 52,838,570 is 6209580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,39,738

GCF of Fractions 81/52,39/838,738/570 is 3/6209580

3 81, 39, 738
27, 13, 246

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 81,39,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,39,738 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 81,39,738 . The biggest common factor number is the GCF number.
So the greatest common factor 81,39,738 is 3.

Lets's calculate LCM of 52,838,570

2 52, 838, 570
26, 419, 285

∴ So the LCM of the given numbers is 2 x 26 x 419 x 285 = 6209580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6209580

Therefore, the GCF of Fractions 81/52,39/838,738/570 is 3/6209580

Least Common Multiple of 52,838,570 with GCF Formula

Least Common Multiple of 52,838,570 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 52,838,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,838,570) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(52,838,570) x common factors =2 x 2 = 4

LCM(52,838,570) = ( 52 × 838 × 570 ) / 4

LCM(52,838,570) = 24838320 / 4

LCM(52,838,570) = 6209580


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 81/52, 39/838, 738/570

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 81/52, 39/838, 738/570?

Answer: GCF of Numerators as per given numbers 81/52, 39/838, 738/570 is

GCF of Numerators i.e. for 81,39,738 is 3

LCM of denominators i.e. for 52,838,570 is 6209580.

Thus, GCF of Fractions is 3/6209580.Finally, GCF of Fractions for 81/52, 39/838, 738/570 is 3/6209580.