Greatest Common Factor of 660/53, 699/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/53, 699/193

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 660/53,699/193

Given fractions are 660/53,699/193

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 660,699

Greatest Common Factor of Numerators i.e. GCF of 660,699 is 3 .

LCM of Denominators means LCM of 53,193 as per the given fractions.

LCM of 53,193 is 10229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,699

GCF of Fractions 660/53,699/193 is 3/10229

3 660, 699
220, 233

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 660,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,699 By Matching Biggest Common Factor Method

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

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 660,699 . The biggest common factor number is the GCF number.
So the greatest common factor 660,699 is 3.

Lets's calculate LCM of 53,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 10229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10229

Therefore, the GCF of Fractions 660/53,699/193 is 3/10229

Least Common Multiple of 53,193 with GCF Formula

Least Common Multiple of 53,193 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 53,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,193) = 1

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

GCF(53,193) x common factors =1 x 1 = 1

LCM(53,193) = ( 53 × 193 ) / 1

LCM(53,193) = 10229 / 1

LCM(53,193) = 10229


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 660/53, 699/193

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 660/53, 699/193?

Answer: GCF of Numerators as per given numbers 660/53, 699/193 is

GCF of Numerators i.e. for 660,699 is 3

LCM of denominators i.e. for 53,193 is 10229.

Thus, GCF of Fractions is 3/10229.Finally, GCF of Fractions for 660/53, 699/193 is 3/10229.