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 753/270, 809/432

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 753/270, 809/432 i.e 1/2160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 753/270, 809/432.

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 753/270,809/432?

Given fractions are 753/270,809/432

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 753/270,809/432, numerators are 753,809

Denominators are 270,432

The GCF of 753,809 is 1 .

LCM of 270,432 is 2160.

The greatest common factor of 753/270,809/432 = [GCF of 753,809]/[LCM of 270,432]= 1/2160

Therefore, the GCF of 753/270,809/432 is 1/2160.

Greatest Common Factor of 753,809

To find the highest common factor of 753,809, we have to find the factors of both numbers and list the highest common factor.

The factors of 753 are 1, 3, 251, 753

The factors of 809 are 1, 809

The HCF of 753,809 is 1.

Lets's calculate GCF of 753,809

Greatest Common Factor (GCF) of 753,809 By Common Division

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

Greatest Common Factor of 753,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,809 By Matching Biggest Common Factor Method

Now, list down the factors of 753

:

1,3,251,753

Now, list down the factors of 809

:

1,809

Greatest Common Factor

We found the factors 753,809 . The biggest common factor number is the GCF number.
So the greatest common factor 753,809 is 1.

Lets's calculate LCM of 270,432

Lowest Common Multiple of 270,432 using Common Division

2 270, 432
3 135, 216
3 45, 72
3 15, 24
5, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 8 = 2160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160

Therefore, the GCF of Fractions 753/270,809/432 is 1/2160

Least Common Multiple of 270,432 with GCF Formula

Least Common Multiple of 270,432 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 270,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,432) = 54

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

GCF(270,432) x common factors =54 x 1 = 54

LCM(270,432) = ( 270 × 432 ) / 54

LCM(270,432) = 116640 / 54

LCM(270,432) = 2160


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 753/270, 809/432

1. What is the HCF of 753,809?

The HCF of 753,809 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 753/270, 809/432?

Answer: GCF of Numerators as per given numbers 753/270, 809/432 is

GCF of Numerators i.e. for 753,809 is 1

LCM of denominators i.e. for 270,432 is 2160.

Thus, GCF of Fractions is 1/2160.Finally, GCF of Fractions for 753/270, 809/432 is 1/2160.