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 584/18, 409/465

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 584/18, 409/465 i.e 1/2790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 584/18, 409/465.

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 584/18,409/465?

Given fractions are 584/18,409/465

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 584/18,409/465, numerators are 584,409

Denominators are 18,465

The GCF of 584,409 is 1 .

LCM of 18,465 is 2790.

The greatest common factor of 584/18,409/465 = [GCF of 584,409]/[LCM of 18,465]= 1/2790

Therefore, the GCF of 584/18,409/465 is 1/2790.

Greatest Common Factor of 584,409

To find the highest common factor of 584,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584

The factors of 409 are 1, 409

The HCF of 584,409 is 1.

Lets's calculate GCF of 584,409

Greatest Common Factor (GCF) of 584,409 By Common Division

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

Greatest Common Factor of 584,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,409 By Matching Biggest Common Factor Method

Now, list down the factors of 584

:

1,2,4,8,73,146,292,584

Now, list down the factors of 409

:

1,409

Greatest Common Factor

We found the factors 584,409 . The biggest common factor number is the GCF number.
So the greatest common factor 584,409 is 1.

Lets's calculate LCM of 18,465

Lowest Common Multiple of 18,465 using Common Division

3 18, 465
6, 155

∴ So the LCM of the given numbers is 3 x 6 x 155 = 2790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2790

Therefore, the GCF of Fractions 584/18,409/465 is 1/2790

Least Common Multiple of 18,465 with GCF Formula

Least Common Multiple of 18,465 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 18,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,465) = 3

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

GCF(18,465) x common factors =3 x 1 = 3

LCM(18,465) = ( 18 × 465 ) / 3

LCM(18,465) = 8370 / 3

LCM(18,465) = 2790


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 584/18, 409/465

1. What is the HCF of 584,409?

The HCF of 584,409 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 584/18, 409/465?

Answer: GCF of Numerators as per given numbers 584/18, 409/465 is

GCF of Numerators i.e. for 584,409 is 1

LCM of denominators i.e. for 18,465 is 2790.

Thus, GCF of Fractions is 1/2790.Finally, GCF of Fractions for 584/18, 409/465 is 1/2790.