LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 899/585, 479/666

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 899/585, 479/666 i.e 1/43290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/585, 479/666.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 899/585,479/666?

Given fractions are 899/585,479/666

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 899/585,479/666, numerators are 899,479

Denominators are 585,666

The GCF of 899,479 is 1 .

LCM of 585,666 is 43290.

The greatest common factor of 899/585,479/666 = [GCF of 899,479]/[LCM of 585,666]= 1/43290

Therefore, the GCF of 899/585,479/666 is 1/43290.

Greatest Common Factor of 899,479

To find the highest common factor of 899,479, we have to find the factors of both numbers and list the highest common factor.

The factors of 899 are 1, 29, 31, 899

The factors of 479 are 1, 479

The HCF of 899,479 is 1.

Lets's calculate GCF of 899,479

Greatest Common Factor (GCF) of 899,479 By Common Division

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

Greatest Common Factor of 899,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,479 By Matching Biggest Common Factor Method

Now, list down the factors of 899

:

1,29,31,899

Now, list down the factors of 479

:

1,479

Greatest Common Factor

We found the factors 899,479 . The biggest common factor number is the GCF number.
So the greatest common factor 899,479 is 1.

Lets's calculate LCM of 585,666

Lowest Common Multiple of 585,666 using Common Division

3 585, 666
3 195, 222
65, 74

∴ So the LCM of the given numbers is 3 x 3 x 65 x 74 = 43290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43290

Therefore, the GCF of Fractions 899/585,479/666 is 1/43290

Least Common Multiple of 585,666 with GCF Formula

Least Common Multiple of 585,666 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 585,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,666) = 9

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

GCF(585,666) x common factors =9 x 1 = 9

LCM(585,666) = ( 585 × 666 ) / 9

LCM(585,666) = 389610 / 9

LCM(585,666) = 43290


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 899/585, 479/666

1. What is the HCF of 899,479?

The HCF of 899,479 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 899/585, 479/666?

Answer: GCF of Numerators as per given numbers 899/585, 479/666 is

GCF of Numerators i.e. for 899,479 is 1

LCM of denominators i.e. for 585,666 is 43290.

Thus, GCF of Fractions is 1/43290.Finally, GCF of Fractions for 899/585, 479/666 is 1/43290.