Greatest Common Factor of 6384/649, 7018/5806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6384/649, 7018/5806

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 6384/649,7018/5806

Given fractions are 6384/649,7018/5806

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 6384,7018

Greatest Common Factor of Numerators i.e. GCF of 6384,7018 is 2 .

LCM of Denominators means LCM of 649,5806 as per the given fractions.

LCM of 649,5806 is 3768094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6384,7018

GCF of Fractions 6384/649,7018/5806 is 2/3768094

2 6384, 7018
3192, 3509

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

Greatest Common Factor of 6384,7018 By Matching Biggest Common Factor Method

Greatest Common Factor of 6384,7018 By Matching Biggest Common Factor Method

Factors of 6384

List of positive integer factors of 6384 that divides 6384 without a remainder.

1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384

Factors of 7018

List of positive integer factors of 7018 that divides 7018 without a remainder.

1,2,11,22,29,58,121,242,319,638,3509,7018

Greatest Common Factor

We found the factors 6384,7018 . The biggest common factor number is the GCF number.
So the greatest common factor 6384,7018 is 2.

Lets's calculate LCM of 649,5806

Given numbers has no common factors except 1. So, there LCM is their product i.e 3768094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3768094

Therefore, the GCF of Fractions 6384/649,7018/5806 is 2/3768094

Least Common Multiple of 649,5806 with GCF Formula

Least Common Multiple of 649,5806 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 649,5806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,5806) = 1

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

GCF(649,5806) x common factors =1 x 1 = 1

LCM(649,5806) = ( 649 × 5806 ) / 1

LCM(649,5806) = 3768094 / 1

LCM(649,5806) = 3768094


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 6384/649, 7018/5806

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 6384/649, 7018/5806?

Answer: GCF of Numerators as per given numbers 6384/649, 7018/5806 is

GCF of Numerators i.e. for 6384,7018 is 2

LCM of denominators i.e. for 649,5806 is 3768094.

Thus, GCF of Fractions is 2/3768094.Finally, GCF of Fractions for 6384/649, 7018/5806 is 2/3768094.