Greatest Common Factor of 1639/334, 2309/9858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1639/334, 2309/9858

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 1639/334,2309/9858

Given fractions are 1639/334,2309/9858

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 1639,2309

Greatest Common Factor of Numerators i.e. GCF of 1639,2309 is 1 .

LCM of Denominators means LCM of 334,9858 as per the given fractions.

LCM of 334,9858 is 1646286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1639,2309

GCF of Fractions 1639/334,2309/9858 is 1/1646286

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

Greatest Common Factor of 1639,2309 By Matching Biggest Common Factor Method

Greatest Common Factor of 1639,2309 By Matching Biggest Common Factor Method

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Factors of 2309

List of positive integer factors of 2309 that divides 2309 without a remainder.

1,2309

Greatest Common Factor

We found the factors 1639,2309 . The biggest common factor number is the GCF number.
So the greatest common factor 1639,2309 is 1.

Lets's calculate LCM of 334,9858

2 334, 9858
167, 4929

∴ So the LCM of the given numbers is 2 x 167 x 4929 = 1646286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1646286

Therefore, the GCF of Fractions 1639/334,2309/9858 is 1/1646286

Least Common Multiple of 334,9858 with GCF Formula

Least Common Multiple of 334,9858 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 334,9858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,9858) = 2

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

GCF(334,9858) x common factors =2 x 1 = 2

LCM(334,9858) = ( 334 × 9858 ) / 2

LCM(334,9858) = 3292572 / 2

LCM(334,9858) = 1646286


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 1639/334, 2309/9858

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 1639/334, 2309/9858?

Answer: GCF of Numerators as per given numbers 1639/334, 2309/9858 is

GCF of Numerators i.e. for 1639,2309 is 1

LCM of denominators i.e. for 334,9858 is 1646286.

Thus, GCF of Fractions is 1/1646286.Finally, GCF of Fractions for 1639/334, 2309/9858 is 1/1646286.