Greatest Common Factor of 794/86, 9608/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 794/86, 9608/400

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 794/86,9608/400

Given fractions are 794/86,9608/400

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 794,9608

Greatest Common Factor of Numerators i.e. GCF of 794,9608 is 2 .

LCM of Denominators means LCM of 86,400 as per the given fractions.

LCM of 86,400 is 17200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 794,9608

GCF of Fractions 794/86,9608/400 is 2/17200

2 794, 9608
397, 4804

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

Greatest Common Factor of 794,9608 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,9608 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors 794,9608 . The biggest common factor number is the GCF number.
So the greatest common factor 794,9608 is 2.

Lets's calculate LCM of 86,400

2 86, 400
43, 200

∴ So the LCM of the given numbers is 2 x 43 x 200 = 17200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17200

Therefore, the GCF of Fractions 794/86,9608/400 is 2/17200

Least Common Multiple of 86,400 with GCF Formula

Least Common Multiple of 86,400 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 86,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,400) = 2

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

GCF(86,400) x common factors =2 x 1 = 2

LCM(86,400) = ( 86 × 400 ) / 2

LCM(86,400) = 34400 / 2

LCM(86,400) = 17200


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 794/86, 9608/400

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 794/86, 9608/400?

Answer: GCF of Numerators as per given numbers 794/86, 9608/400 is

GCF of Numerators i.e. for 794,9608 is 2

LCM of denominators i.e. for 86,400 is 17200.

Thus, GCF of Fractions is 2/17200.Finally, GCF of Fractions for 794/86, 9608/400 is 2/17200.