Greatest Common Factor of 9829/691, 9949/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9829/691, 9949/743

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 9829/691,9949/743

Given fractions are 9829/691,9949/743

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 9829,9949

Greatest Common Factor of Numerators i.e. GCF of 9829,9949 is 1 .

LCM of Denominators means LCM of 691,743 as per the given fractions.

LCM of 691,743 is 513413 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9829,9949

GCF of Fractions 9829/691,9949/743 is 1/513413

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

Greatest Common Factor of 9829,9949 By Matching Biggest Common Factor Method

Greatest Common Factor of 9829,9949 By Matching Biggest Common Factor Method

Factors of 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1,9829

Factors of 9949

List of positive integer factors of 9949 that divides 9949 without a remainder.

1,9949

Greatest Common Factor

We found the factors 9829,9949 . The biggest common factor number is the GCF number.
So the greatest common factor 9829,9949 is 1.

Lets's calculate LCM of 691,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 513413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/513413

Therefore, the GCF of Fractions 9829/691,9949/743 is 1/513413

Least Common Multiple of 691,743 with GCF Formula

Least Common Multiple of 691,743 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 691,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,743) = 1

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

GCF(691,743) x common factors =1 x 1 = 1

LCM(691,743) = ( 691 × 743 ) / 1

LCM(691,743) = 513413 / 1

LCM(691,743) = 513413


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 9829/691, 9949/743

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 9829/691, 9949/743?

Answer: GCF of Numerators as per given numbers 9829/691, 9949/743 is

GCF of Numerators i.e. for 9829,9949 is 1

LCM of denominators i.e. for 691,743 is 513413.

Thus, GCF of Fractions is 1/513413.Finally, GCF of Fractions for 9829/691, 9949/743 is 1/513413.