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 662/23, 809/545

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 662/23, 809/545 i.e 1/12535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/23, 809/545.

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 662/23,809/545?

Given fractions are 662/23,809/545

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 662/23,809/545, numerators are 662,809

Denominators are 23,545

The GCF of 662,809 is 1 .

LCM of 23,545 is 12535.

The greatest common factor of 662/23,809/545 = [GCF of 662,809]/[LCM of 23,545]= 1/12535

Therefore, the GCF of 662/23,809/545 is 1/12535.

Greatest Common Factor of 662,809

To find the highest common factor of 662,809, we have to find the factors of both numbers and list the highest common factor.

The factors of 662 are 1, 2, 331, 662

The factors of 809 are 1, 809

The HCF of 662,809 is 1.

Lets's calculate GCF of 662,809

Greatest Common Factor (GCF) of 662,809 By Common Division

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

Greatest Common Factor of 662,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,809 By Matching Biggest Common Factor Method

Now, list down the factors of 662

:

1,2,331,662

Now, list down the factors of 809

:

1,809

Greatest Common Factor

We found the factors 662,809 . The biggest common factor number is the GCF number.
So the greatest common factor 662,809 is 1.

Lets's calculate LCM of 23,545

Lowest Common Multiple of 23,545 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12535

Therefore, the GCF of Fractions 662/23,809/545 is 1/12535

Least Common Multiple of 23,545 with GCF Formula

Least Common Multiple of 23,545 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 23,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,545) = 1

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

GCF(23,545) x common factors =1 x 1 = 1

LCM(23,545) = ( 23 × 545 ) / 1

LCM(23,545) = 12535 / 1

LCM(23,545) = 12535


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 662/23, 809/545

1. What is the HCF of 662,809?

The HCF of 662,809 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 662/23, 809/545?

Answer: GCF of Numerators as per given numbers 662/23, 809/545 is

GCF of Numerators i.e. for 662,809 is 1

LCM of denominators i.e. for 23,545 is 12535.

Thus, GCF of Fractions is 1/12535.Finally, GCF of Fractions for 662/23, 809/545 is 1/12535.