Greatest Common Factor of 9947/38, 6729/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9947/38, 6729/691

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 9947/38,6729/691

Given fractions are 9947/38,6729/691

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 9947,6729

Greatest Common Factor of Numerators i.e. GCF of 9947,6729 is 1 .

LCM of Denominators means LCM of 38,691 as per the given fractions.

LCM of 38,691 is 26258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9947,6729

GCF of Fractions 9947/38,6729/691 is 1/26258

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

Greatest Common Factor of 9947,6729 By Matching Biggest Common Factor Method

Greatest Common Factor of 9947,6729 By Matching Biggest Common Factor Method

Factors of 9947

List of positive integer factors of 9947 that divides 9947 without a remainder.

1,7,29,49,203,343,1421,9947

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1,3,2243,6729

Greatest Common Factor

We found the factors 9947,6729 . The biggest common factor number is the GCF number.
So the greatest common factor 9947,6729 is 1.

Lets's calculate LCM of 38,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 26258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26258

Therefore, the GCF of Fractions 9947/38,6729/691 is 1/26258

Least Common Multiple of 38,691 with GCF Formula

Least Common Multiple of 38,691 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 38,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,691) = 1

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

GCF(38,691) x common factors =1 x 1 = 1

LCM(38,691) = ( 38 × 691 ) / 1

LCM(38,691) = 26258 / 1

LCM(38,691) = 26258


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 9947/38, 6729/691

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 9947/38, 6729/691?

Answer: GCF of Numerators as per given numbers 9947/38, 6729/691 is

GCF of Numerators i.e. for 9947,6729 is 1

LCM of denominators i.e. for 38,691 is 26258.

Thus, GCF of Fractions is 1/26258.Finally, GCF of Fractions for 9947/38, 6729/691 is 1/26258.