Greatest Common Factor of 24/828, 982/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/828, 982/825

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 24/828,982/825

Given fractions are 24/828,982/825

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 24,982

Greatest Common Factor of Numerators i.e. GCF of 24,982 is 2 .

LCM of Denominators means LCM of 828,825 as per the given fractions.

LCM of 828,825 is 227700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,982

GCF of Fractions 24/828,982/825 is 2/227700

2 24, 982
12, 491

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

Greatest Common Factor of 24,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,982 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 24,982 . The biggest common factor number is the GCF number.
So the greatest common factor 24,982 is 2.

Lets's calculate LCM of 828,825

3 828, 825
276, 275

∴ So the LCM of the given numbers is 3 x 276 x 275 = 227700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227700

Therefore, the GCF of Fractions 24/828,982/825 is 2/227700

Least Common Multiple of 828,825 with GCF Formula

Least Common Multiple of 828,825 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 828,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,825) = 3

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

GCF(828,825) x common factors =3 x 1 = 3

LCM(828,825) = ( 828 × 825 ) / 3

LCM(828,825) = 683100 / 3

LCM(828,825) = 227700


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 24/828, 982/825

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 24/828, 982/825?

Answer: GCF of Numerators as per given numbers 24/828, 982/825 is

GCF of Numerators i.e. for 24,982 is 2

LCM of denominators i.e. for 828,825 is 227700.

Thus, GCF of Fractions is 2/227700.Finally, GCF of Fractions for 24/828, 982/825 is 2/227700.