Greatest Common Factor of 66/499, 839/592, 304/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/499, 839/592, 304/896

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 66/499,839/592,304/896

Given fractions are 66/499,839/592,304/896

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 66,839,304

Greatest Common Factor of Numerators i.e. GCF of 66,839,304 is 1 .

LCM of Denominators means LCM of 499,592,896 as per the given fractions.

LCM of 499,592,896 is 16542848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,839,304

GCF of Fractions 66/499,839/592,304/896 is 1/16542848

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

Greatest Common Factor of 66,839,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,839,304 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 66,839,304 . The biggest common factor number is the GCF number.
So the greatest common factor 66,839,304 is 1.

Lets's calculate LCM of 499,592,896

2 499, 592, 896
2 499, 296, 448
2 499, 148, 224
2 499, 74, 112
499, 37, 56

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 499 x 37 x 56 = 16542848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16542848

Therefore, the GCF of Fractions 66/499,839/592,304/896 is 1/16542848

Least Common Multiple of 499,592,896 with GCF Formula

Least Common Multiple of 499,592,896 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 499,592,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,592,896) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(499,592,896) x common factors =1 x 16 = 16

LCM(499,592,896) = ( 499 × 592 × 896 ) / 16

LCM(499,592,896) = 264685568 / 16

LCM(499,592,896) = 16542848


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 66/499, 839/592, 304/896

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 66/499, 839/592, 304/896?

Answer: GCF of Numerators as per given numbers 66/499, 839/592, 304/896 is

GCF of Numerators i.e. for 66,839,304 is 1

LCM of denominators i.e. for 499,592,896 is 16542848.

Thus, GCF of Fractions is 1/16542848.Finally, GCF of Fractions for 66/499, 839/592, 304/896 is 1/16542848.