Greatest Common Factor of 298/705, 9082/8170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 298/705, 9082/8170

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 298/705,9082/8170

Given fractions are 298/705,9082/8170

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 298,9082

Greatest Common Factor of Numerators i.e. GCF of 298,9082 is 2 .

LCM of Denominators means LCM of 705,8170 as per the given fractions.

LCM of 705,8170 is 1151970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 298,9082

GCF of Fractions 298/705,9082/8170 is 2/1151970

2 298, 9082
149, 4541

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 298,9082 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,9082 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 9082

List of positive integer factors of 9082 that divides 9082 without a remainder.

1,2,19,38,239,478,4541,9082

Greatest Common Factor

We found the factors 298,9082 . The biggest common factor number is the GCF number.
So the greatest common factor 298,9082 is 2.

Lets's calculate LCM of 705,8170

5 705, 8170
141, 1634

∴ So the LCM of the given numbers is 5 x 141 x 1634 = 1151970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1151970

Therefore, the GCF of Fractions 298/705,9082/8170 is 2/1151970

Least Common Multiple of 705,8170 with GCF Formula

Least Common Multiple of 705,8170 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 705,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,8170) = 5

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

GCF(705,8170) x common factors =5 x 1 = 5

LCM(705,8170) = ( 705 × 8170 ) / 5

LCM(705,8170) = 5759850 / 5

LCM(705,8170) = 1151970


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 298/705, 9082/8170

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 298/705, 9082/8170?

Answer: GCF of Numerators as per given numbers 298/705, 9082/8170 is

GCF of Numerators i.e. for 298,9082 is 2

LCM of denominators i.e. for 705,8170 is 1151970.

Thus, GCF of Fractions is 2/1151970.Finally, GCF of Fractions for 298/705, 9082/8170 is 2/1151970.