Greatest Common Factor of 466/17, 205/58, 698/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/17, 205/58, 698/269

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 466/17,205/58,698/269

Given fractions are 466/17,205/58,698/269

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 466,205,698

Greatest Common Factor of Numerators i.e. GCF of 466,205,698 is 1 .

LCM of Denominators means LCM of 17,58,269 as per the given fractions.

LCM of 17,58,269 is 265234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,205,698

GCF of Fractions 466/17,205/58,698/269 is 1/265234

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

Greatest Common Factor of 466,205,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,205,698 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 466,205,698 . The biggest common factor number is the GCF number.
So the greatest common factor 466,205,698 is 1.

Lets's calculate LCM of 17,58,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 265234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265234

Therefore, the GCF of Fractions 466/17,205/58,698/269 is 1/265234

Least Common Multiple of 17,58,269 with GCF Formula

Least Common Multiple of 17,58,269 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 17,58,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,58,269) = 1

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

GCF(17,58,269) x common factors =1 x 1 = 1

LCM(17,58,269) = ( 17 × 58 × 269 ) / 1

LCM(17,58,269) = 265234 / 1

LCM(17,58,269) = 265234


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 466/17, 205/58, 698/269

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 466/17, 205/58, 698/269?

Answer: GCF of Numerators as per given numbers 466/17, 205/58, 698/269 is

GCF of Numerators i.e. for 466,205,698 is 1

LCM of denominators i.e. for 17,58,269 is 265234.

Thus, GCF of Fractions is 1/265234.Finally, GCF of Fractions for 466/17, 205/58, 698/269 is 1/265234.