Greatest Common Factor of 8/96, 27/68, 58/697, 609/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/96, 27/68, 58/697, 609/336

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 8/96,27/68,58/697,609/336

Given fractions are 8/96,27/68,58/697,609/336

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 8,27,58,609

Greatest Common Factor of Numerators i.e. GCF of 8,27,58,609 is 1 .

LCM of Denominators means LCM of 96,68,697,336 as per the given fractions.

LCM of 96,68,697,336 is 468384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,27,58,609

GCF of Fractions 8/96,27/68,58/697,609/336 is 1/468384

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

Greatest Common Factor of 8,27,58,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,27,58,609 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 8,27,58,609 . The biggest common factor number is the GCF number.
So the greatest common factor 8,27,58,609 is 1.

Lets's calculate LCM of 96,68,697,336

2 96, 68, 697, 336
2 48, 34, 697, 168
2 24, 17, 697, 84
2 12, 17, 697, 42
3 6, 17, 697, 21
17 2, 17, 697, 7
2, 1, 41, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 2 x 1 x 41 x 7 = 468384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468384

Therefore, the GCF of Fractions 8/96,27/68,58/697,609/336 is 1/468384

Least Common Multiple of 96,68,697,336 with GCF Formula

Least Common Multiple of 96,68,697,336 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 96,68,697,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,68,697,336) = 1

common factors(in case of two or more numbers have common factors) = 3264

GCF(96,68,697,336) x common factors =1 x 3264 = 3264

LCM(96,68,697,336) = ( 96 × 68 × 697 × 336 ) / 3264

LCM(96,68,697,336) = 1528805376 / 3264

LCM(96,68,697,336) = 468384


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 8/96, 27/68, 58/697, 609/336

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 8/96, 27/68, 58/697, 609/336?

Answer: GCF of Numerators as per given numbers 8/96, 27/68, 58/697, 609/336 is

GCF of Numerators i.e. for 8,27,58,609 is 1

LCM of denominators i.e. for 96,68,697,336 is 468384.

Thus, GCF of Fractions is 1/468384.Finally, GCF of Fractions for 8/96, 27/68, 58/697, 609/336 is 1/468384.