Greatest Common Factor of 42/11, 16/971, 517/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/11, 16/971, 517/319

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 42/11,16/971,517/319

Given fractions are 42/11,16/971,517/319

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 42,16,517

Greatest Common Factor of Numerators i.e. GCF of 42,16,517 is 1 .

LCM of Denominators means LCM of 11,971,319 as per the given fractions.

LCM of 11,971,319 is 309749 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,16,517

GCF of Fractions 42/11,16/971,517/319 is 1/309749

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

Greatest Common Factor of 42,16,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,16,517 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 42,16,517 . The biggest common factor number is the GCF number.
So the greatest common factor 42,16,517 is 1.

Lets's calculate LCM of 11,971,319

11 11, 971, 319
1, 971, 29

∴ So the LCM of the given numbers is 11 x 1 x 971 x 29 = 309749

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309749

Therefore, the GCF of Fractions 42/11,16/971,517/319 is 1/309749

Least Common Multiple of 11,971,319 with GCF Formula

Least Common Multiple of 11,971,319 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 11,971,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,971,319) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,971,319) x common factors =1 x 11 = 11

LCM(11,971,319) = ( 11 × 971 × 319 ) / 11

LCM(11,971,319) = 3407239 / 11

LCM(11,971,319) = 309749


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 42/11, 16/971, 517/319

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 42/11, 16/971, 517/319?

Answer: GCF of Numerators as per given numbers 42/11, 16/971, 517/319 is

GCF of Numerators i.e. for 42,16,517 is 1

LCM of denominators i.e. for 11,971,319 is 309749.

Thus, GCF of Fractions is 1/309749.Finally, GCF of Fractions for 42/11, 16/971, 517/319 is 1/309749.