Greatest Common Factor of 16/171, 384/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/171, 384/841

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 16/171,384/841

Given fractions are 16/171,384/841

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 16,384

Greatest Common Factor of Numerators i.e. GCF of 16,384 is 16 .

LCM of Denominators means LCM of 171,841 as per the given fractions.

LCM of 171,841 is 143811 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,384

GCF of Fractions 16/171,384/841 is 16/143811

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

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 16,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,384 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 16,384 . The biggest common factor number is the GCF number.
So the greatest common factor 16,384 is 16.

Lets's calculate LCM of 171,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 143811

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/143811

Therefore, the GCF of Fractions 16/171,384/841 is 16/143811

Least Common Multiple of 171,841 with GCF Formula

Least Common Multiple of 171,841 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 171,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,841) = 1

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

GCF(171,841) x common factors =1 x 1 = 1

LCM(171,841) = ( 171 × 841 ) / 1

LCM(171,841) = 143811 / 1

LCM(171,841) = 143811


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 16/171, 384/841

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 16/171, 384/841?

Answer: GCF of Numerators as per given numbers 16/171, 384/841 is

GCF of Numerators i.e. for 16,384 is 16

LCM of denominators i.e. for 171,841 is 143811.

Thus, GCF of Fractions is 16/143811.Finally, GCF of Fractions for 16/171, 384/841 is 16/143811.