Greatest Common Factor of 6/17, 68/71, 85/487, 963/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6/17, 68/71, 85/487, 963/460

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 6/17,68/71,85/487,963/460

Given fractions are 6/17,68/71,85/487,963/460

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 6,68,85,963

Greatest Common Factor of Numerators i.e. GCF of 6,68,85,963 is 1 .

LCM of Denominators means LCM of 17,71,487,460 as per the given fractions.

LCM of 17,71,487,460 is 270392140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,68,85,963

GCF of Fractions 6/17,68/71,85/487,963/460 is 1/270392140

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

Greatest Common Factor of 6,68,85,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,68,85,963 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 6,68,85,963 . The biggest common factor number is the GCF number.
So the greatest common factor 6,68,85,963 is 1.


Lets's calculate LCM of 17,71,487,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 270392140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270392140

Therefore, the GCF of Fractions 6/17,68/71,85/487,963/460 is 1/270392140

Least Common Multiple of 17,71,487,460 with GCF Formula

Least Common Multiple of 17,71,487,460 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 17,71,487,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,71,487,460) = 1

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

GCF(17,71,487,460) x common factors =1 x 1 = 1

LCM(17,71,487,460) = ( 17 × 71 × 487 × 460 ) / 1

LCM(17,71,487,460) = 270392140 / 1

LCM(17,71,487,460) = 270392140


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6/17, 68/71, 85/487, 963/460

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 6/17, 68/71, 85/487, 963/460?

Answer: GCF of Numerators as per given numbers 6/17, 68/71, 85/487, 963/460 is

GCF of Numerators i.e. for 6,68,85,963 is 1

LCM of denominators i.e. for 17,71,487,460 is 270392140.

Thus, GCF of Fractions is 1/270392140.Finally, GCF of Fractions for 6/17, 68/71, 85/487, 963/460 is 1/270392140.