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 806/37, 487/627

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 806/37, 487/627 i.e 1/23199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/37, 487/627.

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 806/37,487/627?

Given fractions are 806/37,487/627

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 806/37,487/627, numerators are 806,487

Denominators are 37,627

The GCF of 806,487 is 1 .

LCM of 37,627 is 23199.

The greatest common factor of 806/37,487/627 = [GCF of 806,487]/[LCM of 37,627]= 1/23199

Therefore, the GCF of 806/37,487/627 is 1/23199.

Greatest Common Factor of 806,487

To find the highest common factor of 806,487, we have to find the factors of both numbers and list the highest common factor.

The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806

The factors of 487 are 1, 487

The HCF of 806,487 is 1.

Lets's calculate GCF of 806,487

Greatest Common Factor (GCF) of 806,487 By Common Division

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

Greatest Common Factor of 806,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,487 By Matching Biggest Common Factor Method

Now, list down the factors of 806

:

1,2,13,26,31,62,403,806

Now, list down the factors of 487

:

1,487

Greatest Common Factor

We found the factors 806,487 . The biggest common factor number is the GCF number.
So the greatest common factor 806,487 is 1.

Lets's calculate LCM of 37,627

Lowest Common Multiple of 37,627 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23199

Therefore, the GCF of Fractions 806/37,487/627 is 1/23199

Least Common Multiple of 37,627 with GCF Formula

Least Common Multiple of 37,627 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 37,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,627) = 1

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

GCF(37,627) x common factors =1 x 1 = 1

LCM(37,627) = ( 37 × 627 ) / 1

LCM(37,627) = 23199 / 1

LCM(37,627) = 23199


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 806/37, 487/627

1. What is the HCF of 806,487?

The HCF of 806,487 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 806/37, 487/627?

Answer: GCF of Numerators as per given numbers 806/37, 487/627 is

GCF of Numerators i.e. for 806,487 is 1

LCM of denominators i.e. for 37,627 is 23199.

Thus, GCF of Fractions is 1/23199.Finally, GCF of Fractions for 806/37, 487/627 is 1/23199.