Greatest Common Factor of 8078/536, 5712/6034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8078/536, 5712/6034

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 8078/536,5712/6034

Given fractions are 8078/536,5712/6034

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 8078,5712

Greatest Common Factor of Numerators i.e. GCF of 8078,5712 is 14 .

LCM of Denominators means LCM of 536,6034 as per the given fractions.

LCM of 536,6034 is 1617112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8078,5712

GCF of Fractions 8078/536,5712/6034 is 14/1617112

2 8078, 5712
7 4039, 2856
577, 408

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 8078,5712 By Matching Biggest Common Factor Method

Greatest Common Factor of 8078,5712 By Matching Biggest Common Factor Method

Factors of 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1,2,7,14,577,1154,4039,8078

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712

Greatest Common Factor

We found the factors 8078,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 8078,5712 is 14.

Lets's calculate LCM of 536,6034

2 536, 6034
268, 3017

∴ So the LCM of the given numbers is 2 x 268 x 3017 = 1617112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1617112

Therefore, the GCF of Fractions 8078/536,5712/6034 is 14/1617112

Least Common Multiple of 536,6034 with GCF Formula

Least Common Multiple of 536,6034 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 536,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,6034) = 2

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

GCF(536,6034) x common factors =2 x 1 = 2

LCM(536,6034) = ( 536 × 6034 ) / 2

LCM(536,6034) = 3234224 / 2

LCM(536,6034) = 1617112


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 8078/536, 5712/6034

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 8078/536, 5712/6034?

Answer: GCF of Numerators as per given numbers 8078/536, 5712/6034 is

GCF of Numerators i.e. for 8078,5712 is 14

LCM of denominators i.e. for 536,6034 is 1617112.

Thus, GCF of Fractions is 14/1617112.Finally, GCF of Fractions for 8078/536, 5712/6034 is 14/1617112.