Greatest Common Factor of 5270/806, 8587/3386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5270/806, 8587/3386

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 5270/806,8587/3386

Given fractions are 5270/806,8587/3386

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 5270,8587

Greatest Common Factor of Numerators i.e. GCF of 5270,8587 is 31 .

LCM of Denominators means LCM of 806,3386 as per the given fractions.

LCM of 806,3386 is 1364558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5270,8587

GCF of Fractions 5270/806,8587/3386 is 31/1364558

31 5270, 8587
170, 277

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 5270,8587 By Matching Biggest Common Factor Method

Greatest Common Factor of 5270,8587 By Matching Biggest Common Factor Method

Factors of 5270

List of positive integer factors of 5270 that divides 5270 without a remainder.

1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270

Factors of 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1,31,277,8587

Greatest Common Factor

We found the factors 5270,8587 . The biggest common factor number is the GCF number.
So the greatest common factor 5270,8587 is 31.

Lets's calculate LCM of 806,3386

2 806, 3386
403, 1693

∴ So the LCM of the given numbers is 2 x 403 x 1693 = 1364558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1364558

Therefore, the GCF of Fractions 5270/806,8587/3386 is 31/1364558

Least Common Multiple of 806,3386 with GCF Formula

Least Common Multiple of 806,3386 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 806,3386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,3386) = 2

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

GCF(806,3386) x common factors =2 x 1 = 2

LCM(806,3386) = ( 806 × 3386 ) / 2

LCM(806,3386) = 2729116 / 2

LCM(806,3386) = 1364558


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 5270/806, 8587/3386

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 5270/806, 8587/3386?

Answer: GCF of Numerators as per given numbers 5270/806, 8587/3386 is

GCF of Numerators i.e. for 5270,8587 is 31

LCM of denominators i.e. for 806,3386 is 1364558.

Thus, GCF of Fractions is 31/1364558.Finally, GCF of Fractions for 5270/806, 8587/3386 is 31/1364558.