How to Find GCF of 799/73, 831/81, 747/37?

GCF of 799/73, 831/81, 747/37

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 799/73, 831/81, 747/37 i.e 1/218781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/73, 831/81, 747/37.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 799/73,831/81,747/37?

Given fractions are 799/73,831/81,747/37

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 799/73,831/81,747/37, numerators are 799,831,747

Denominators are 73,81,37

The GCF of 799,831,747 is 1 .

LCM of 73,81,37 is 218781.

The greatest common factor of 799/73,831/81,747/37 = [GCF of 799,831,747]/[LCM of 73,81,37]= 1/218781

Therefore, the GCF of 799/73,831/81,747/37 is 1/218781.

Greatest Common Factor of 799,831,747

To find the highest common factor of 799,831,747, we have to find the factors of both numbers and list the highest common factor.

The factors of 799 are 1, 17, 47, 799

The factors of 831 are 1, 3, 277, 831

The factors of 747 are 1, 3, 9, 83, 249, 747

The HCF of 799,831,747 is 1.

Lets's calculate GCF of 799,831,747

Greatest Common Factor (GCF) of 799,831,747 By Common Division

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

Greatest Common Factor of 799,831,747 By Matching Biggest Common Factor Method

Now, list down the factors of 799

1,17,47,799

Now, list down the factors of 831

1,3,277,831

Now, list down the factors of 747

1,3,9,83,249,747

Greatest Common Factor

We found the factors 799,831,747 . The biggest common factor number is the GCF number.
So the greatest common factor 799,831,747 is 1.

Lets's calculate LCM of 73,81,37

Lowest Common Multiple of 73,81,37 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 218781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218781

Therefore, the GCF of Fractions 799/73,831/81,747/37 is 1/218781

Least Common Multiple of 73,81,37 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,81,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,81,37) = 1

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

GCF(73,81,37) x common factors =1 x 1 = 1

LCM(73,81,37) = ( 73 × 81 × 37 ) / 1

LCM(73,81,37) = 218781 / 1

LCM(73,81,37) = 218781

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 799/73, 831/81, 747/37

1. What is the HCF of 799,831,747?

The HCF of 799,831,747 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 799/73, 831/81, 747/37?

Answer: GCF of Numerators as per given numbers 799/73, 831/81, 747/37 is

GCF of Numerators i.e. for 799,831,747 is 1

LCM of denominators i.e. for 73,81,37 is 218781.

Thus, GCF of Fractions is 1/218781.Finally, GCF of Fractions for 799/73, 831/81, 747/37 is 1/218781.