Greatest Common Factor of 793/15, 429/6969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 793/15, 429/6969

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 793/15,429/6969

Given fractions are 793/15,429/6969

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 793,429

Greatest Common Factor of Numerators i.e. GCF of 793,429 is 13 .

LCM of Denominators means LCM of 15,6969 as per the given fractions.

LCM of 15,6969 is 34845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 793,429

GCF of Fractions 793/15,429/6969 is 13/34845

13 793, 429
61, 33

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 793,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,429 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 793,429 . The biggest common factor number is the GCF number.
So the greatest common factor 793,429 is 13.

Lets's calculate LCM of 15,6969

3 15, 6969
5, 2323

∴ So the LCM of the given numbers is 3 x 5 x 2323 = 34845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/34845

Therefore, the GCF of Fractions 793/15,429/6969 is 13/34845

Least Common Multiple of 15,6969 with GCF Formula

Least Common Multiple of 15,6969 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 15,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,6969) = 3

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

GCF(15,6969) x common factors =3 x 1 = 3

LCM(15,6969) = ( 15 × 6969 ) / 3

LCM(15,6969) = 104535 / 3

LCM(15,6969) = 34845


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 793/15, 429/6969

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 793/15, 429/6969?

Answer: GCF of Numerators as per given numbers 793/15, 429/6969 is

GCF of Numerators i.e. for 793,429 is 13

LCM of denominators i.e. for 15,6969 is 34845.

Thus, GCF of Fractions is 13/34845.Finally, GCF of Fractions for 793/15, 429/6969 is 13/34845.