Greatest Common Factor of 5040/586, 8871/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5040/586, 8871/596

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 5040/586,8871/596

Given fractions are 5040/586,8871/596

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 5040,8871

Greatest Common Factor of Numerators i.e. GCF of 5040,8871 is 3 .

LCM of Denominators means LCM of 586,596 as per the given fractions.

LCM of 586,596 is 174628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5040,8871

GCF of Fractions 5040/586,8871/596 is 3/174628

3 5040, 8871
1680, 2957

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

Greatest Common Factor of 5040,8871 By Matching Biggest Common Factor Method

Greatest Common Factor of 5040,8871 By Matching Biggest Common Factor Method

Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040

Factors of 8871

List of positive integer factors of 8871 that divides 8871 without a remainder.

1,3,2957,8871

Greatest Common Factor

We found the factors 5040,8871 . The biggest common factor number is the GCF number.
So the greatest common factor 5040,8871 is 3.

Lets's calculate LCM of 586,596

2 586, 596
293, 298

∴ So the LCM of the given numbers is 2 x 293 x 298 = 174628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/174628

Therefore, the GCF of Fractions 5040/586,8871/596 is 3/174628

Least Common Multiple of 586,596 with GCF Formula

Least Common Multiple of 586,596 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 586,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,596) = 2

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

GCF(586,596) x common factors =2 x 1 = 2

LCM(586,596) = ( 586 × 596 ) / 2

LCM(586,596) = 349256 / 2

LCM(586,596) = 174628


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 5040/586, 8871/596

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 5040/586, 8871/596?

Answer: GCF of Numerators as per given numbers 5040/586, 8871/596 is

GCF of Numerators i.e. for 5040,8871 is 3

LCM of denominators i.e. for 586,596 is 174628.

Thus, GCF of Fractions is 3/174628.Finally, GCF of Fractions for 5040/586, 8871/596 is 3/174628.