Greatest Common Factor of 6778/48, 1309/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6778/48, 1309/669

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 6778/48,1309/669

Given fractions are 6778/48,1309/669

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 6778,1309

Greatest Common Factor of Numerators i.e. GCF of 6778,1309 is 1 .

LCM of Denominators means LCM of 48,669 as per the given fractions.

LCM of 48,669 is 10704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6778,1309

GCF of Fractions 6778/48,1309/669 is 1/10704

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

Greatest Common Factor of 6778,1309 By Matching Biggest Common Factor Method

Greatest Common Factor of 6778,1309 By Matching Biggest Common Factor Method

Factors of 6778

List of positive integer factors of 6778 that divides 6778 without a remainder.

1,2,3389,6778

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1,7,11,17,77,119,187,1309

Greatest Common Factor

We found the factors 6778,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 6778,1309 is 1.

Lets's calculate LCM of 48,669

3 48, 669
16, 223

∴ So the LCM of the given numbers is 3 x 16 x 223 = 10704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10704

Therefore, the GCF of Fractions 6778/48,1309/669 is 1/10704

Least Common Multiple of 48,669 with GCF Formula

Least Common Multiple of 48,669 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 48,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,669) = 3

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

GCF(48,669) x common factors =3 x 1 = 3

LCM(48,669) = ( 48 × 669 ) / 3

LCM(48,669) = 32112 / 3

LCM(48,669) = 10704


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 6778/48, 1309/669

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 6778/48, 1309/669?

Answer: GCF of Numerators as per given numbers 6778/48, 1309/669 is

GCF of Numerators i.e. for 6778,1309 is 1

LCM of denominators i.e. for 48,669 is 10704.

Thus, GCF of Fractions is 1/10704.Finally, GCF of Fractions for 6778/48, 1309/669 is 1/10704.