Greatest Common Factor of 8192/850, 5424/3060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8192/850, 5424/3060

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 8192/850,5424/3060

Given fractions are 8192/850,5424/3060

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 8192,5424

Greatest Common Factor of Numerators i.e. GCF of 8192,5424 is 16 .

LCM of Denominators means LCM of 850,3060 as per the given fractions.

LCM of 850,3060 is 15300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8192,5424

GCF of Fractions 8192/850,5424/3060 is 16/15300

2 8192, 5424
2 4096, 2712
2 2048, 1356
2 1024, 678
512, 339

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

Greatest Common Factor of 8192,5424 By Matching Biggest Common Factor Method

Greatest Common Factor of 8192,5424 By Matching Biggest Common Factor Method

Factors of 8192

List of positive integer factors of 8192 that divides 8192 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Greatest Common Factor

We found the factors 8192,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 8192,5424 is 16.

Lets's calculate LCM of 850,3060

2 850, 3060
5 425, 1530
17 85, 306
5, 18

∴ So the LCM of the given numbers is 2 x 5 x 17 x 5 x 18 = 15300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/15300

Therefore, the GCF of Fractions 8192/850,5424/3060 is 16/15300

Least Common Multiple of 850,3060 with GCF Formula

Least Common Multiple of 850,3060 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 850,3060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,3060) = 170

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

GCF(850,3060) x common factors =170 x 1 = 170

LCM(850,3060) = ( 850 × 3060 ) / 170

LCM(850,3060) = 2601000 / 170

LCM(850,3060) = 15300


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 8192/850, 5424/3060

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 8192/850, 5424/3060?

Answer: GCF of Numerators as per given numbers 8192/850, 5424/3060 is

GCF of Numerators i.e. for 8192,5424 is 16

LCM of denominators i.e. for 850,3060 is 15300.

Thus, GCF of Fractions is 16/15300.Finally, GCF of Fractions for 8192/850, 5424/3060 is 16/15300.