Greatest Common Factor of 434/69, 9726/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 434/69, 9726/762

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 434/69,9726/762

Given fractions are 434/69,9726/762

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 434,9726

Greatest Common Factor of Numerators i.e. GCF of 434,9726 is 2 .

LCM of Denominators means LCM of 69,762 as per the given fractions.

LCM of 69,762 is 17526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 434,9726

GCF of Fractions 434/69,9726/762 is 2/17526

2 434, 9726
217, 4863

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

Greatest Common Factor of 434,9726 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,9726 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1,2,3,6,1621,3242,4863,9726

Greatest Common Factor

We found the factors 434,9726 . The biggest common factor number is the GCF number.
So the greatest common factor 434,9726 is 2.

Lets's calculate LCM of 69,762

3 69, 762
23, 254

∴ So the LCM of the given numbers is 3 x 23 x 254 = 17526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17526

Therefore, the GCF of Fractions 434/69,9726/762 is 2/17526

Least Common Multiple of 69,762 with GCF Formula

Least Common Multiple of 69,762 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 69,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,762) = 3

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

GCF(69,762) x common factors =3 x 1 = 3

LCM(69,762) = ( 69 × 762 ) / 3

LCM(69,762) = 52578 / 3

LCM(69,762) = 17526


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 434/69, 9726/762

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 434/69, 9726/762?

Answer: GCF of Numerators as per given numbers 434/69, 9726/762 is

GCF of Numerators i.e. for 434,9726 is 2

LCM of denominators i.e. for 69,762 is 17526.

Thus, GCF of Fractions is 2/17526.Finally, GCF of Fractions for 434/69, 9726/762 is 2/17526.