Greatest Common Factor of 499/304, 706/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 499/304, 706/846

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 499/304,706/846

Given fractions are 499/304,706/846

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 499,706

Greatest Common Factor of Numerators i.e. GCF of 499,706 is 1 .

LCM of Denominators means LCM of 304,846 as per the given fractions.

LCM of 304,846 is 128592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 499,706

GCF of Fractions 499/304,706/846 is 1/128592

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 499,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,706 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 499,706 . The biggest common factor number is the GCF number.
So the greatest common factor 499,706 is 1.

Lets's calculate LCM of 304,846

2 304, 846
152, 423

∴ So the LCM of the given numbers is 2 x 152 x 423 = 128592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128592

Therefore, the GCF of Fractions 499/304,706/846 is 1/128592

Least Common Multiple of 304,846 with GCF Formula

Least Common Multiple of 304,846 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 304,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,846) = 2

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

GCF(304,846) x common factors =2 x 1 = 2

LCM(304,846) = ( 304 × 846 ) / 2

LCM(304,846) = 257184 / 2

LCM(304,846) = 128592


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 499/304, 706/846

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 499/304, 706/846?

Answer: GCF of Numerators as per given numbers 499/304, 706/846 is

GCF of Numerators i.e. for 499,706 is 1

LCM of denominators i.e. for 304,846 is 128592.

Thus, GCF of Fractions is 1/128592.Finally, GCF of Fractions for 499/304, 706/846 is 1/128592.