Greatest Common Factor of 6730/306, 7563/1986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6730/306, 7563/1986

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 6730/306,7563/1986

Given fractions are 6730/306,7563/1986

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 6730,7563

Greatest Common Factor of Numerators i.e. GCF of 6730,7563 is 1 .

LCM of Denominators means LCM of 306,1986 as per the given fractions.

LCM of 306,1986 is 101286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6730,7563

GCF of Fractions 6730/306,7563/1986 is 1/101286

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6730,7563 By Matching Biggest Common Factor Method

Greatest Common Factor of 6730,7563 By Matching Biggest Common Factor Method

Factors of 6730

List of positive integer factors of 6730 that divides 6730 without a remainder.

1,2,5,10,673,1346,3365,6730

Factors of 7563

List of positive integer factors of 7563 that divides 7563 without a remainder.

1,3,2521,7563

Greatest Common Factor

We found the factors 6730,7563 . The biggest common factor number is the GCF number.
So the greatest common factor 6730,7563 is 1.

Lets's calculate LCM of 306,1986

2 306, 1986
3 153, 993
51, 331

∴ So the LCM of the given numbers is 2 x 3 x 51 x 331 = 101286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101286

Therefore, the GCF of Fractions 6730/306,7563/1986 is 1/101286

Least Common Multiple of 306,1986 with GCF Formula

Least Common Multiple of 306,1986 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 306,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,1986) = 6

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

GCF(306,1986) x common factors =6 x 1 = 6

LCM(306,1986) = ( 306 × 1986 ) / 6

LCM(306,1986) = 607716 / 6

LCM(306,1986) = 101286


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 6730/306, 7563/1986

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 6730/306, 7563/1986?

Answer: GCF of Numerators as per given numbers 6730/306, 7563/1986 is

GCF of Numerators i.e. for 6730,7563 is 1

LCM of denominators i.e. for 306,1986 is 101286.

Thus, GCF of Fractions is 1/101286.Finally, GCF of Fractions for 6730/306, 7563/1986 is 1/101286.