Greatest Common Factor of 9736/594, 4289/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9736/594, 4289/632

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 9736/594,4289/632

Given fractions are 9736/594,4289/632

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 9736,4289

Greatest Common Factor of Numerators i.e. GCF of 9736,4289 is 1 .

LCM of Denominators means LCM of 594,632 as per the given fractions.

LCM of 594,632 is 187704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9736,4289

GCF of Fractions 9736/594,4289/632 is 1/187704

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

Greatest Common Factor of 9736,4289 By Matching Biggest Common Factor Method

Greatest Common Factor of 9736,4289 By Matching Biggest Common Factor Method

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1,2,4,8,1217,2434,4868,9736

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1,4289

Greatest Common Factor

We found the factors 9736,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 9736,4289 is 1.

Lets's calculate LCM of 594,632

2 594, 632
297, 316

∴ So the LCM of the given numbers is 2 x 297 x 316 = 187704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187704

Therefore, the GCF of Fractions 9736/594,4289/632 is 1/187704

Least Common Multiple of 594,632 with GCF Formula

Least Common Multiple of 594,632 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 594,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,632) = 2

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

GCF(594,632) x common factors =2 x 1 = 2

LCM(594,632) = ( 594 × 632 ) / 2

LCM(594,632) = 375408 / 2

LCM(594,632) = 187704


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 9736/594, 4289/632

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 9736/594, 4289/632?

Answer: GCF of Numerators as per given numbers 9736/594, 4289/632 is

GCF of Numerators i.e. for 9736,4289 is 1

LCM of denominators i.e. for 594,632 is 187704.

Thus, GCF of Fractions is 1/187704.Finally, GCF of Fractions for 9736/594, 4289/632 is 1/187704.