Greatest Common Factor of 263/17, 349/60, 632/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 263/17, 349/60, 632/339

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 263/17,349/60,632/339

Given fractions are 263/17,349/60,632/339

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 263,349,632

Greatest Common Factor of Numerators i.e. GCF of 263,349,632 is 1 .

LCM of Denominators means LCM of 17,60,339 as per the given fractions.

LCM of 17,60,339 is 115260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 263,349,632

GCF of Fractions 263/17,349/60,632/339 is 1/115260

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

Greatest Common Factor of 263,349,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,349,632 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 263,349,632 . The biggest common factor number is the GCF number.
So the greatest common factor 263,349,632 is 1.

Lets's calculate LCM of 17,60,339

3 17, 60, 339
17, 20, 113

∴ So the LCM of the given numbers is 3 x 17 x 20 x 113 = 115260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115260

Therefore, the GCF of Fractions 263/17,349/60,632/339 is 1/115260

Least Common Multiple of 17,60,339 with GCF Formula

Least Common Multiple of 17,60,339 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 17,60,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,60,339) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(17,60,339) x common factors =1 x 3 = 3

LCM(17,60,339) = ( 17 × 60 × 339 ) / 3

LCM(17,60,339) = 345780 / 3

LCM(17,60,339) = 115260


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 263/17, 349/60, 632/339

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 263/17, 349/60, 632/339?

Answer: GCF of Numerators as per given numbers 263/17, 349/60, 632/339 is

GCF of Numerators i.e. for 263,349,632 is 1

LCM of denominators i.e. for 17,60,339 is 115260.

Thus, GCF of Fractions is 1/115260.Finally, GCF of Fractions for 263/17, 349/60, 632/339 is 1/115260.