Greatest Common Factor of 9694/798, 9942/1824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9694/798, 9942/1824

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 9694/798,9942/1824

Given fractions are 9694/798,9942/1824

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 9694,9942

Greatest Common Factor of Numerators i.e. GCF of 9694,9942 is 2 .

LCM of Denominators means LCM of 798,1824 as per the given fractions.

LCM of 798,1824 is 12768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9694,9942

GCF of Fractions 9694/798,9942/1824 is 2/12768

2 9694, 9942
4847, 4971

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9694,9942 By Matching Biggest Common Factor Method

Greatest Common Factor of 9694,9942 By Matching Biggest Common Factor Method

Factors of 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1,2,37,74,131,262,4847,9694

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Greatest Common Factor

We found the factors 9694,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,9942 is 2.

Lets's calculate LCM of 798,1824

2 798, 1824
3 399, 912
19 133, 304
7, 16

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 16 = 12768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12768

Therefore, the GCF of Fractions 9694/798,9942/1824 is 2/12768

Least Common Multiple of 798,1824 with GCF Formula

Least Common Multiple of 798,1824 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 798,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,1824) = 114

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

GCF(798,1824) x common factors =114 x 1 = 114

LCM(798,1824) = ( 798 × 1824 ) / 114

LCM(798,1824) = 1455552 / 114

LCM(798,1824) = 12768


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 9694/798, 9942/1824

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 9694/798, 9942/1824?

Answer: GCF of Numerators as per given numbers 9694/798, 9942/1824 is

GCF of Numerators i.e. for 9694,9942 is 2

LCM of denominators i.e. for 798,1824 is 12768.

Thus, GCF of Fractions is 2/12768.Finally, GCF of Fractions for 9694/798, 9942/1824 is 2/12768.