Greatest Common Factor of 8607/32, 5571/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8607/32, 5571/384

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 8607/32,5571/384

Given fractions are 8607/32,5571/384

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 8607,5571

Greatest Common Factor of Numerators i.e. GCF of 8607,5571 is 3 .

LCM of Denominators means LCM of 32,384 as per the given fractions.

LCM of 32,384 is 384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8607,5571

GCF of Fractions 8607/32,5571/384 is 3/384

3 8607, 5571
2869, 1857

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

Greatest Common Factor of 8607,5571 By Matching Biggest Common Factor Method

Greatest Common Factor of 8607,5571 By Matching Biggest Common Factor Method

Factors of 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1,3,19,57,151,453,2869,8607

Factors of 5571

List of positive integer factors of 5571 that divides 5571 without a remainder.

1,3,9,619,1857,5571

Greatest Common Factor

We found the factors 8607,5571 . The biggest common factor number is the GCF number.
So the greatest common factor 8607,5571 is 3.

Lets's calculate LCM of 32,384

2 32, 384
2 16, 192
2 8, 96
2 4, 48
2 2, 24
1, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 12 = 384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/384

Therefore, the GCF of Fractions 8607/32,5571/384 is 3/384

Least Common Multiple of 32,384 with GCF Formula

Least Common Multiple of 32,384 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 32,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,384) = 32

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

GCF(32,384) x common factors =32 x 1 = 32

LCM(32,384) = ( 32 × 384 ) / 32

LCM(32,384) = 12288 / 32

LCM(32,384) = 384


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 8607/32, 5571/384

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 8607/32, 5571/384?

Answer: GCF of Numerators as per given numbers 8607/32, 5571/384 is

GCF of Numerators i.e. for 8607,5571 is 3

LCM of denominators i.e. for 32,384 is 384.

Thus, GCF of Fractions is 3/384.Finally, GCF of Fractions for 8607/32, 5571/384 is 3/384.