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 483/38, 821/466

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 483/38, 821/466 i.e 1/8854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/38, 821/466.

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 483/38,821/466?

Given fractions are 483/38,821/466

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 483/38,821/466, numerators are 483,821

Denominators are 38,466

The GCF of 483,821 is 1 .

LCM of 38,466 is 8854.

The greatest common factor of 483/38,821/466 = [GCF of 483,821]/[LCM of 38,466]= 1/8854

Therefore, the GCF of 483/38,821/466 is 1/8854.

Greatest Common Factor of 483,821

To find the highest common factor of 483,821, we have to find the factors of both numbers and list the highest common factor.

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 821 are 1, 821

The HCF of 483,821 is 1.

Lets's calculate GCF of 483,821

Greatest Common Factor (GCF) of 483,821 By Common Division

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

Greatest Common Factor of 483,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,821 By Matching Biggest Common Factor Method

Now, list down the factors of 483

:

1,3,7,21,23,69,161,483

Now, list down the factors of 821

:

1,821

Greatest Common Factor

We found the factors 483,821 . The biggest common factor number is the GCF number.
So the greatest common factor 483,821 is 1.

Lets's calculate LCM of 38,466

Lowest Common Multiple of 38,466 using Common Division

2 38, 466
19, 233

∴ So the LCM of the given numbers is 2 x 19 x 233 = 8854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8854

Therefore, the GCF of Fractions 483/38,821/466 is 1/8854

Least Common Multiple of 38,466 with GCF Formula

Least Common Multiple of 38,466 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 38,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,466) = 2

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

GCF(38,466) x common factors =2 x 1 = 2

LCM(38,466) = ( 38 × 466 ) / 2

LCM(38,466) = 17708 / 2

LCM(38,466) = 8854


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 483/38, 821/466

1. What is the HCF of 483,821?

The HCF of 483,821 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 483/38, 821/466?

Answer: GCF of Numerators as per given numbers 483/38, 821/466 is

GCF of Numerators i.e. for 483,821 is 1

LCM of denominators i.e. for 38,466 is 8854.

Thus, GCF of Fractions is 1/8854.Finally, GCF of Fractions for 483/38, 821/466 is 1/8854.