Greatest Common Factor of 4336/469, 9738/4243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4336/469, 9738/4243

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 4336/469,9738/4243

Given fractions are 4336/469,9738/4243

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 4336,9738

Greatest Common Factor of Numerators i.e. GCF of 4336,9738 is 2 .

LCM of Denominators means LCM of 469,4243 as per the given fractions.

LCM of 469,4243 is 1989967 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4336,9738

GCF of Fractions 4336/469,9738/4243 is 2/1989967

2 4336, 9738
2168, 4869

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

Greatest Common Factor of 4336,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 4336,9738 By Matching Biggest Common Factor Method

Factors of 4336

List of positive integer factors of 4336 that divides 4336 without a remainder.

1,2,4,8,16,271,542,1084,2168,4336

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 4336,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 4336,9738 is 2.

Lets's calculate LCM of 469,4243

Given numbers has no common factors except 1. So, there LCM is their product i.e 1989967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1989967

Therefore, the GCF of Fractions 4336/469,9738/4243 is 2/1989967

Least Common Multiple of 469,4243 with GCF Formula

Least Common Multiple of 469,4243 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 469,4243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,4243) = 1

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

GCF(469,4243) x common factors =1 x 1 = 1

LCM(469,4243) = ( 469 × 4243 ) / 1

LCM(469,4243) = 1989967 / 1

LCM(469,4243) = 1989967


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 4336/469, 9738/4243

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 4336/469, 9738/4243?

Answer: GCF of Numerators as per given numbers 4336/469, 9738/4243 is

GCF of Numerators i.e. for 4336,9738 is 2

LCM of denominators i.e. for 469,4243 is 1989967.

Thus, GCF of Fractions is 2/1989967.Finally, GCF of Fractions for 4336/469, 9738/4243 is 2/1989967.