Greatest Common Factor of 283/64, 514/18, 497/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 283/64, 514/18, 497/169

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 283/64,514/18,497/169

Given fractions are 283/64,514/18,497/169

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 283,514,497

Greatest Common Factor of Numerators i.e. GCF of 283,514,497 is 1 .

LCM of Denominators means LCM of 64,18,169 as per the given fractions.

LCM of 64,18,169 is 97344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 283,514,497

GCF of Fractions 283/64,514/18,497/169 is 1/97344

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

Greatest Common Factor of 283,514,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,514,497 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 283,514,497 . The biggest common factor number is the GCF number.
So the greatest common factor 283,514,497 is 1.

Lets's calculate LCM of 64,18,169

2 64, 18, 169
32, 9, 169

∴ So the LCM of the given numbers is 2 x 32 x 9 x 169 = 97344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97344

Therefore, the GCF of Fractions 283/64,514/18,497/169 is 1/97344

Least Common Multiple of 64,18,169 with GCF Formula

Least Common Multiple of 64,18,169 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 64,18,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,18,169) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,18,169) x common factors =1 x 2 = 2

LCM(64,18,169) = ( 64 × 18 × 169 ) / 2

LCM(64,18,169) = 194688 / 2

LCM(64,18,169) = 97344


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 283/64, 514/18, 497/169

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 283/64, 514/18, 497/169?

Answer: GCF of Numerators as per given numbers 283/64, 514/18, 497/169 is

GCF of Numerators i.e. for 283,514,497 is 1

LCM of denominators i.e. for 64,18,169 is 97344.

Thus, GCF of Fractions is 1/97344.Finally, GCF of Fractions for 283/64, 514/18, 497/169 is 1/97344.