Greatest Common Factor of 753/42, 831/8318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/42, 831/8318

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 753/42,831/8318

Given fractions are 753/42,831/8318

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 753,831

Greatest Common Factor of Numerators i.e. GCF of 753,831 is 3 .

LCM of Denominators means LCM of 42,8318 as per the given fractions.

LCM of 42,8318 is 174678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,831

GCF of Fractions 753/42,831/8318 is 3/174678

3 753, 831
251, 277

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 753,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,831 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 753,831 . The biggest common factor number is the GCF number.
So the greatest common factor 753,831 is 3.

Lets's calculate LCM of 42,8318

2 42, 8318
21, 4159

∴ So the LCM of the given numbers is 2 x 21 x 4159 = 174678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/174678

Therefore, the GCF of Fractions 753/42,831/8318 is 3/174678

Least Common Multiple of 42,8318 with GCF Formula

Least Common Multiple of 42,8318 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 42,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8318) = 2

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

GCF(42,8318) x common factors =2 x 1 = 2

LCM(42,8318) = ( 42 × 8318 ) / 2

LCM(42,8318) = 349356 / 2

LCM(42,8318) = 174678


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 753/42, 831/8318

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 753/42, 831/8318?

Answer: GCF of Numerators as per given numbers 753/42, 831/8318 is

GCF of Numerators i.e. for 753,831 is 3

LCM of denominators i.e. for 42,8318 is 174678.

Thus, GCF of Fractions is 3/174678.Finally, GCF of Fractions for 753/42, 831/8318 is 3/174678.