Greatest Common Factor of 471/16, 8121/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/16, 8121/512

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 471/16,8121/512

Given fractions are 471/16,8121/512

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 471,8121

Greatest Common Factor of Numerators i.e. GCF of 471,8121 is 3 .

LCM of Denominators means LCM of 16,512 as per the given fractions.

LCM of 16,512 is 512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,8121

GCF of Fractions 471/16,8121/512 is 3/512

3 471, 8121
157, 2707

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

Greatest Common Factor of 471,8121 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,8121 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 8121

List of positive integer factors of 8121 that divides 8121 without a remainder.

1,3,2707,8121

Greatest Common Factor

We found the factors 471,8121 . The biggest common factor number is the GCF number.
So the greatest common factor 471,8121 is 3.

Lets's calculate LCM of 16,512

2 16, 512
2 8, 256
2 4, 128
2 2, 64
1, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 32 = 512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/512

Therefore, the GCF of Fractions 471/16,8121/512 is 3/512

Least Common Multiple of 16,512 with GCF Formula

Least Common Multiple of 16,512 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 16,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,512) = 16

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

GCF(16,512) x common factors =16 x 1 = 16

LCM(16,512) = ( 16 × 512 ) / 16

LCM(16,512) = 8192 / 16

LCM(16,512) = 512


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 471/16, 8121/512

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 471/16, 8121/512?

Answer: GCF of Numerators as per given numbers 471/16, 8121/512 is

GCF of Numerators i.e. for 471,8121 is 3

LCM of denominators i.e. for 16,512 is 512.

Thus, GCF of Fractions is 3/512.Finally, GCF of Fractions for 471/16, 8121/512 is 3/512.