Greatest Common Factor of 9759/704, 6893/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9759/704, 6893/166

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 9759/704,6893/166

Given fractions are 9759/704,6893/166

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 9759,6893

Greatest Common Factor of Numerators i.e. GCF of 9759,6893 is 1 .

LCM of Denominators means LCM of 704,166 as per the given fractions.

LCM of 704,166 is 58432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9759,6893

GCF of Fractions 9759/704,6893/166 is 1/58432

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

Greatest Common Factor of 9759,6893 By Matching Biggest Common Factor Method

Greatest Common Factor of 9759,6893 By Matching Biggest Common Factor Method

Factors of 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1,3,3253,9759

Factors of 6893

List of positive integer factors of 6893 that divides 6893 without a remainder.

1,61,113,6893

Greatest Common Factor

We found the factors 9759,6893 . The biggest common factor number is the GCF number.
So the greatest common factor 9759,6893 is 1.

Lets's calculate LCM of 704,166

2 704, 166
352, 83

∴ So the LCM of the given numbers is 2 x 352 x 83 = 58432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58432

Therefore, the GCF of Fractions 9759/704,6893/166 is 1/58432

Least Common Multiple of 704,166 with GCF Formula

Least Common Multiple of 704,166 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 704,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,166) = 2

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

GCF(704,166) x common factors =2 x 1 = 2

LCM(704,166) = ( 704 × 166 ) / 2

LCM(704,166) = 116864 / 2

LCM(704,166) = 58432


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 9759/704, 6893/166

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 9759/704, 6893/166?

Answer: GCF of Numerators as per given numbers 9759/704, 6893/166 is

GCF of Numerators i.e. for 9759,6893 is 1

LCM of denominators i.e. for 704,166 is 58432.

Thus, GCF of Fractions is 1/58432.Finally, GCF of Fractions for 9759/704, 6893/166 is 1/58432.