Greatest Common Factor of 319/458, 8982/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/458, 8982/730

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 319/458,8982/730

Given fractions are 319/458,8982/730

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 319,8982

Greatest Common Factor of Numerators i.e. GCF of 319,8982 is 1 .

LCM of Denominators means LCM of 458,730 as per the given fractions.

LCM of 458,730 is 167170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,8982

GCF of Fractions 319/458,8982/730 is 1/167170

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

Greatest Common Factor of 319,8982 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,8982 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1,2,3,6,9,18,499,998,1497,2994,4491,8982

Greatest Common Factor

We found the factors 319,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 319,8982 is 1.

Lets's calculate LCM of 458,730

2 458, 730
229, 365

∴ So the LCM of the given numbers is 2 x 229 x 365 = 167170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167170

Therefore, the GCF of Fractions 319/458,8982/730 is 1/167170

Least Common Multiple of 458,730 with GCF Formula

Least Common Multiple of 458,730 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 458,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,730) = 2

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

GCF(458,730) x common factors =2 x 1 = 2

LCM(458,730) = ( 458 × 730 ) / 2

LCM(458,730) = 334340 / 2

LCM(458,730) = 167170


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 319/458, 8982/730

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 319/458, 8982/730?

Answer: GCF of Numerators as per given numbers 319/458, 8982/730 is

GCF of Numerators i.e. for 319,8982 is 1

LCM of denominators i.e. for 458,730 is 167170.

Thus, GCF of Fractions is 1/167170.Finally, GCF of Fractions for 319/458, 8982/730 is 1/167170.