Greatest Common Factor of 994/806, 639/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 994/806, 639/747

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 994/806,639/747

Given fractions are 994/806,639/747

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 994,639

Greatest Common Factor of Numerators i.e. GCF of 994,639 is 71 .

LCM of Denominators means LCM of 806,747 as per the given fractions.

LCM of 806,747 is 602082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 994,639

GCF of Fractions 994/806,639/747 is 71/602082

71 994, 639
14, 9

∴ So the GCF of the given numbers is 71 = 71

Greatest Common Factor of 994,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,639 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 994,639 . The biggest common factor number is the GCF number.
So the greatest common factor 994,639 is 71.

Lets's calculate LCM of 806,747

Given numbers has no common factors except 1. So, there LCM is their product i.e 602082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/602082

Therefore, the GCF of Fractions 994/806,639/747 is 71/602082

Least Common Multiple of 806,747 with GCF Formula

Least Common Multiple of 806,747 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 806,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,747) = 1

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

GCF(806,747) x common factors =1 x 1 = 1

LCM(806,747) = ( 806 × 747 ) / 1

LCM(806,747) = 602082 / 1

LCM(806,747) = 602082


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 994/806, 639/747

1. 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.

2. What is the GCF of Fractions for 994/806, 639/747?

Answer: GCF of Numerators as per given numbers 994/806, 639/747 is

GCF of Numerators i.e. for 994,639 is 71

LCM of denominators i.e. for 806,747 is 602082.

Thus, GCF of Fractions is 71/602082.Finally, GCF of Fractions for 994/806, 639/747 is 71/602082.