Greatest Common Factor of 208/36, 693/86, 660/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/36, 693/86, 660/103

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 208/36,693/86,660/103

Given fractions are 208/36,693/86,660/103

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 208,693,660

Greatest Common Factor of Numerators i.e. GCF of 208,693,660 is 1 .

LCM of Denominators means LCM of 36,86,103 as per the given fractions.

LCM of 36,86,103 is 159444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,693,660

GCF of Fractions 208/36,693/86,660/103 is 1/159444

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

Greatest Common Factor of 208,693,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,693,660 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 208,693,660 . The biggest common factor number is the GCF number.
So the greatest common factor 208,693,660 is 1.

Lets's calculate LCM of 36,86,103

2 36, 86, 103
18, 43, 103

∴ So the LCM of the given numbers is 2 x 18 x 43 x 103 = 159444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159444

Therefore, the GCF of Fractions 208/36,693/86,660/103 is 1/159444

Least Common Multiple of 36,86,103 with GCF Formula

Least Common Multiple of 36,86,103 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 36,86,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,86,103) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,86,103) x common factors =1 x 2 = 2

LCM(36,86,103) = ( 36 × 86 × 103 ) / 2

LCM(36,86,103) = 318888 / 2

LCM(36,86,103) = 159444


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 208/36, 693/86, 660/103

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 208/36, 693/86, 660/103?

Answer: GCF of Numerators as per given numbers 208/36, 693/86, 660/103 is

GCF of Numerators i.e. for 208,693,660 is 1

LCM of denominators i.e. for 36,86,103 is 159444.

Thus, GCF of Fractions is 1/159444.Finally, GCF of Fractions for 208/36, 693/86, 660/103 is 1/159444.