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 387/423, 978/391

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 387/423, 978/391 i.e 3/165393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/423, 978/391.

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 387/423,978/391?

Given fractions are 387/423,978/391

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 387/423,978/391, numerators are 387,978

Denominators are 423,391

The GCF of 387,978 is 3 .

LCM of 423,391 is 165393.

The greatest common factor of 387/423,978/391 = [GCF of 387,978]/[LCM of 423,391]= 3/165393

Therefore, the GCF of 387/423,978/391 is 3/165393.

Greatest Common Factor of 387,978

To find the highest common factor of 387,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 387 are 1, 3, 9, 43, 129, 387

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The HCF of 387,978 is 3.

Lets's calculate GCF of 387,978

Greatest Common Factor (GCF) of 387,978 By Common Division

3 387, 978
129, 326

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 387,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,978 By Matching Biggest Common Factor Method

Now, list down the factors of 387

:

1,3,9,43,129,387

Now, list down the factors of 978

:

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 387,978 . The biggest common factor number is the GCF number.
So the greatest common factor 387,978 is 3.

Lets's calculate LCM of 423,391

Lowest Common Multiple of 423,391 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 165393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/165393

Therefore, the GCF of Fractions 387/423,978/391 is 3/165393

Least Common Multiple of 423,391 with GCF Formula

Least Common Multiple of 423,391 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 423,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,391) = 1

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

GCF(423,391) x common factors =1 x 1 = 1

LCM(423,391) = ( 423 × 391 ) / 1

LCM(423,391) = 165393 / 1

LCM(423,391) = 165393


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 387/423, 978/391

1. What is the HCF of 387,978?

The HCF of 387,978 is 3

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 387/423, 978/391?

Answer: GCF of Numerators as per given numbers 387/423, 978/391 is

GCF of Numerators i.e. for 387,978 is 3

LCM of denominators i.e. for 423,391 is 165393.

Thus, GCF of Fractions is 3/165393.Finally, GCF of Fractions for 387/423, 978/391 is 3/165393.