Greatest Common Factor of 982/81, 631/43, 438/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/81, 631/43, 438/994

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 982/81,631/43,438/994

Given fractions are 982/81,631/43,438/994

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 982,631,438

Greatest Common Factor of Numerators i.e. GCF of 982,631,438 is 1 .

LCM of Denominators means LCM of 81,43,994 as per the given fractions.

LCM of 81,43,994 is 3462102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,631,438

GCF of Fractions 982/81,631/43,438/994 is 1/3462102

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

Greatest Common Factor of 982,631,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,631,438 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 982,631,438 . The biggest common factor number is the GCF number.
So the greatest common factor 982,631,438 is 1.

Lets's calculate LCM of 81,43,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 3462102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3462102

Therefore, the GCF of Fractions 982/81,631/43,438/994 is 1/3462102

Least Common Multiple of 81,43,994 with GCF Formula

Least Common Multiple of 81,43,994 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 81,43,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,43,994) = 1

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

GCF(81,43,994) x common factors =1 x 1 = 1

LCM(81,43,994) = ( 81 × 43 × 994 ) / 1

LCM(81,43,994) = 3462102 / 1

LCM(81,43,994) = 3462102


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 982/81, 631/43, 438/994

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 982/81, 631/43, 438/994?

Answer: GCF of Numerators as per given numbers 982/81, 631/43, 438/994 is

GCF of Numerators i.e. for 982,631,438 is 1

LCM of denominators i.e. for 81,43,994 is 3462102.

Thus, GCF of Fractions is 1/3462102.Finally, GCF of Fractions for 982/81, 631/43, 438/994 is 1/3462102.