Greatest Common Factor of 68/78, 60/69, 524/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/78, 60/69, 524/209

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 68/78,60/69,524/209

Given fractions are 68/78,60/69,524/209

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 68,60,524

Greatest Common Factor of Numerators i.e. GCF of 68,60,524 is 4 .

LCM of Denominators means LCM of 78,69,209 as per the given fractions.

LCM of 78,69,209 is 374946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,60,524

GCF of Fractions 68/78,60/69,524/209 is 4/374946

2 68, 60, 524
2 34, 30, 262
17, 15, 131

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,60,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,60,524 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 68,60,524 . The biggest common factor number is the GCF number.
So the greatest common factor 68,60,524 is 4.

Lets's calculate LCM of 78,69,209

3 78, 69, 209
26, 23, 209

∴ So the LCM of the given numbers is 3 x 26 x 23 x 209 = 374946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/374946

Therefore, the GCF of Fractions 68/78,60/69,524/209 is 4/374946

Least Common Multiple of 78,69,209 with GCF Formula

Least Common Multiple of 78,69,209 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 78,69,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,69,209) = 1

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

GCF(78,69,209) x common factors =1 x 3 = 3

LCM(78,69,209) = ( 78 × 69 × 209 ) / 3

LCM(78,69,209) = 1124838 / 3

LCM(78,69,209) = 374946


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 68/78, 60/69, 524/209

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 68/78, 60/69, 524/209?

Answer: GCF of Numerators as per given numbers 68/78, 60/69, 524/209 is

GCF of Numerators i.e. for 68,60,524 is 4

LCM of denominators i.e. for 78,69,209 is 374946.

Thus, GCF of Fractions is 4/374946.Finally, GCF of Fractions for 68/78, 60/69, 524/209 is 4/374946.