Greatest Common Factor of 3369/230, 7766/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3369/230, 7766/782

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 3369/230,7766/782

Given fractions are 3369/230,7766/782

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 3369,7766

Greatest Common Factor of Numerators i.e. GCF of 3369,7766 is 1 .

LCM of Denominators means LCM of 230,782 as per the given fractions.

LCM of 230,782 is 3910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3369,7766

GCF of Fractions 3369/230,7766/782 is 1/3910

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

Greatest Common Factor of 3369,7766 By Matching Biggest Common Factor Method

Greatest Common Factor of 3369,7766 By Matching Biggest Common Factor Method

Factors of 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1,3,1123,3369

Factors of 7766

List of positive integer factors of 7766 that divides 7766 without a remainder.

1,2,11,22,353,706,3883,7766

Greatest Common Factor

We found the factors 3369,7766 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,7766 is 1.

Lets's calculate LCM of 230,782

2 230, 782
23 115, 391
5, 17

∴ So the LCM of the given numbers is 2 x 23 x 5 x 17 = 3910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3910

Therefore, the GCF of Fractions 3369/230,7766/782 is 1/3910

Least Common Multiple of 230,782 with GCF Formula

Least Common Multiple of 230,782 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 230,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,782) = 46

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

GCF(230,782) x common factors =46 x 1 = 46

LCM(230,782) = ( 230 × 782 ) / 46

LCM(230,782) = 179860 / 46

LCM(230,782) = 3910


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 3369/230, 7766/782

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 3369/230, 7766/782?

Answer: GCF of Numerators as per given numbers 3369/230, 7766/782 is

GCF of Numerators i.e. for 3369,7766 is 1

LCM of denominators i.e. for 230,782 is 3910.

Thus, GCF of Fractions is 1/3910.Finally, GCF of Fractions for 3369/230, 7766/782 is 1/3910.