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 393/828, 673/284

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 393/828, 673/284 i.e 1/58788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/828, 673/284.

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 393/828,673/284?

Given fractions are 393/828,673/284

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 393/828,673/284, numerators are 393,673

Denominators are 828,284

The GCF of 393,673 is 1 .

LCM of 828,284 is 58788.

The greatest common factor of 393/828,673/284 = [GCF of 393,673]/[LCM of 828,284]= 1/58788

Therefore, the GCF of 393/828,673/284 is 1/58788.

Greatest Common Factor of 393,673

To find the highest common factor of 393,673, we have to find the factors of both numbers and list the highest common factor.

The factors of 393 are 1, 3, 131, 393

The factors of 673 are 1, 673

The HCF of 393,673 is 1.

Lets's calculate GCF of 393,673

Greatest Common Factor (GCF) of 393,673 By Common Division

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

Greatest Common Factor of 393,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,673 By Matching Biggest Common Factor Method

Now, list down the factors of 393

:

1,3,131,393

Now, list down the factors of 673

:

1,673

Greatest Common Factor

We found the factors 393,673 . The biggest common factor number is the GCF number.
So the greatest common factor 393,673 is 1.

Lets's calculate LCM of 828,284

Lowest Common Multiple of 828,284 using Common Division

2 828, 284
2 414, 142
207, 71

∴ So the LCM of the given numbers is 2 x 2 x 207 x 71 = 58788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58788

Therefore, the GCF of Fractions 393/828,673/284 is 1/58788

Least Common Multiple of 828,284 with GCF Formula

Least Common Multiple of 828,284 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 828,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,284) = 4

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

GCF(828,284) x common factors =4 x 1 = 4

LCM(828,284) = ( 828 × 284 ) / 4

LCM(828,284) = 235152 / 4

LCM(828,284) = 58788


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 393/828, 673/284

1. What is the HCF of 393,673?

The HCF of 393,673 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 393/828, 673/284?

Answer: GCF of Numerators as per given numbers 393/828, 673/284 is

GCF of Numerators i.e. for 393,673 is 1

LCM of denominators i.e. for 828,284 is 58788.

Thus, GCF of Fractions is 1/58788.Finally, GCF of Fractions for 393/828, 673/284 is 1/58788.