Greatest Common Factor of 8434/333, 9528/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8434/333, 9528/537

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 8434/333,9528/537

Given fractions are 8434/333,9528/537

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 8434,9528

Greatest Common Factor of Numerators i.e. GCF of 8434,9528 is 2 .

LCM of Denominators means LCM of 333,537 as per the given fractions.

LCM of 333,537 is 59607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8434,9528

GCF of Fractions 8434/333,9528/537 is 2/59607

2 8434, 9528
4217, 4764

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

Greatest Common Factor of 8434,9528 By Matching Biggest Common Factor Method

Greatest Common Factor of 8434,9528 By Matching Biggest Common Factor Method

Factors of 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1,2,4217,8434

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Greatest Common Factor

We found the factors 8434,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 8434,9528 is 2.

Lets's calculate LCM of 333,537

3 333, 537
111, 179

∴ So the LCM of the given numbers is 3 x 111 x 179 = 59607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59607

Therefore, the GCF of Fractions 8434/333,9528/537 is 2/59607

Least Common Multiple of 333,537 with GCF Formula

Least Common Multiple of 333,537 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 333,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,537) = 3

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

GCF(333,537) x common factors =3 x 1 = 3

LCM(333,537) = ( 333 × 537 ) / 3

LCM(333,537) = 178821 / 3

LCM(333,537) = 59607


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 8434/333, 9528/537

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 8434/333, 9528/537?

Answer: GCF of Numerators as per given numbers 8434/333, 9528/537 is

GCF of Numerators i.e. for 8434,9528 is 2

LCM of denominators i.e. for 333,537 is 59607.

Thus, GCF of Fractions is 2/59607.Finally, GCF of Fractions for 8434/333, 9528/537 is 2/59607.