Greatest Common Factor of 66/45, 99/73, 935/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/45, 99/73, 935/670

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 66/45,99/73,935/670

Given fractions are 66/45,99/73,935/670

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 66,99,935

Greatest Common Factor of Numerators i.e. GCF of 66,99,935 is 11 .

LCM of Denominators means LCM of 45,73,670 as per the given fractions.

LCM of 45,73,670 is 440190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,99,935

GCF of Fractions 66/45,99/73,935/670 is 11/440190

11 66, 99, 935
6, 9, 85

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 66,99,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,99,935 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 66,99,935 . The biggest common factor number is the GCF number.
So the greatest common factor 66,99,935 is 11.

Lets's calculate LCM of 45,73,670

5 45, 73, 670
9, 73, 134

∴ So the LCM of the given numbers is 5 x 9 x 73 x 134 = 440190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/440190

Therefore, the GCF of Fractions 66/45,99/73,935/670 is 11/440190

Least Common Multiple of 45,73,670 with GCF Formula

Least Common Multiple of 45,73,670 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 45,73,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,73,670) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,73,670) x common factors =1 x 5 = 5

LCM(45,73,670) = ( 45 × 73 × 670 ) / 5

LCM(45,73,670) = 2200950 / 5

LCM(45,73,670) = 440190


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 66/45, 99/73, 935/670

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 66/45, 99/73, 935/670?

Answer: GCF of Numerators as per given numbers 66/45, 99/73, 935/670 is

GCF of Numerators i.e. for 66,99,935 is 11

LCM of denominators i.e. for 45,73,670 is 440190.

Thus, GCF of Fractions is 11/440190.Finally, GCF of Fractions for 66/45, 99/73, 935/670 is 11/440190.