Greatest Common Factor of 1889/66, 6346/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1889/66, 6346/298

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 1889/66,6346/298

Given fractions are 1889/66,6346/298

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 1889,6346

Greatest Common Factor of Numerators i.e. GCF of 1889,6346 is 1 .

LCM of Denominators means LCM of 66,298 as per the given fractions.

LCM of 66,298 is 9834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1889,6346

GCF of Fractions 1889/66,6346/298 is 1/9834

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

Greatest Common Factor of 1889,6346 By Matching Biggest Common Factor Method

Greatest Common Factor of 1889,6346 By Matching Biggest Common Factor Method

Factors of 1889

List of positive integer factors of 1889 that divides 1889 without a remainder.

1,1889

Factors of 6346

List of positive integer factors of 6346 that divides 6346 without a remainder.

1,2,19,38,167,334,3173,6346

Greatest Common Factor

We found the factors 1889,6346 . The biggest common factor number is the GCF number.
So the greatest common factor 1889,6346 is 1.

Lets's calculate LCM of 66,298

2 66, 298
33, 149

∴ So the LCM of the given numbers is 2 x 33 x 149 = 9834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9834

Therefore, the GCF of Fractions 1889/66,6346/298 is 1/9834

Least Common Multiple of 66,298 with GCF Formula

Least Common Multiple of 66,298 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 66,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,298) = 2

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

GCF(66,298) x common factors =2 x 1 = 2

LCM(66,298) = ( 66 × 298 ) / 2

LCM(66,298) = 19668 / 2

LCM(66,298) = 9834


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 1889/66, 6346/298

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 1889/66, 6346/298?

Answer: GCF of Numerators as per given numbers 1889/66, 6346/298 is

GCF of Numerators i.e. for 1889,6346 is 1

LCM of denominators i.e. for 66,298 is 9834.

Thus, GCF of Fractions is 1/9834.Finally, GCF of Fractions for 1889/66, 6346/298 is 1/9834.