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 387/404, 433/788

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 387/404, 433/788 i.e 1/79588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/404, 433/788.

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 387/404,433/788?

Given fractions are 387/404,433/788

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 387/404,433/788, numerators are 387,433

Denominators are 404,788

The GCF of 387,433 is 1 .

LCM of 404,788 is 79588.

The greatest common factor of 387/404,433/788 = [GCF of 387,433]/[LCM of 404,788]= 1/79588

Therefore, the GCF of 387/404,433/788 is 1/79588.

Greatest Common Factor of 387,433

To find the highest common factor of 387,433, 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 433 are 1, 433

The HCF of 387,433 is 1.

Lets's calculate GCF of 387,433

Greatest Common Factor (GCF) of 387,433 By Common Division

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

Greatest Common Factor of 387,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,433 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 433

:

1,433

Greatest Common Factor

We found the factors 387,433 . The biggest common factor number is the GCF number.
So the greatest common factor 387,433 is 1.

Lets's calculate LCM of 404,788

Lowest Common Multiple of 404,788 using Common Division

2 404, 788
2 202, 394
101, 197

∴ So the LCM of the given numbers is 2 x 2 x 101 x 197 = 79588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79588

Therefore, the GCF of Fractions 387/404,433/788 is 1/79588

Least Common Multiple of 404,788 with GCF Formula

Least Common Multiple of 404,788 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 404,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,788) = 4

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

GCF(404,788) x common factors =4 x 1 = 4

LCM(404,788) = ( 404 × 788 ) / 4

LCM(404,788) = 318352 / 4

LCM(404,788) = 79588


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 387/404, 433/788

1. What is the HCF of 387,433?

The HCF of 387,433 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 387/404, 433/788?

Answer: GCF of Numerators as per given numbers 387/404, 433/788 is

GCF of Numerators i.e. for 387,433 is 1

LCM of denominators i.e. for 404,788 is 79588.

Thus, GCF of Fractions is 1/79588.Finally, GCF of Fractions for 387/404, 433/788 is 1/79588.