Greatest Common Factor of 69/11, 99/25, 14/60, 310/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/11, 99/25, 14/60, 310/99

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 69/11,99/25,14/60,310/99

Given fractions are 69/11,99/25,14/60,310/99

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 69,99,14,310

Greatest Common Factor of Numerators i.e. GCF of 69,99,14,310 is 1 .

LCM of Denominators means LCM of 11,25,60,99 as per the given fractions.

LCM of 11,25,60,99 is 9900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,99,14,310

GCF of Fractions 69/11,99/25,14/60,310/99 is 1/9900

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

Greatest Common Factor of 69,99,14,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,99,14,310 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 99

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

1,3,9,11,33,99

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 69,99,14,310 . The biggest common factor number is the GCF number.
So the greatest common factor 69,99,14,310 is 1.

Lets's calculate LCM of 11,25,60,99

3 11, 25, 60, 99
5 11, 25, 20, 33
11 11, 5, 4, 33
1, 5, 4, 3

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 5 x 4 x 3 = 9900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9900

Therefore, the GCF of Fractions 69/11,99/25,14/60,310/99 is 1/9900

Least Common Multiple of 11,25,60,99 with GCF Formula

Least Common Multiple of 11,25,60,99 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 11,25,60,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,25,60,99) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(11,25,60,99) x common factors =1 x 165 = 165

LCM(11,25,60,99) = ( 11 × 25 × 60 × 99 ) / 165

LCM(11,25,60,99) = 1633500 / 165

LCM(11,25,60,99) = 9900


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 69/11, 99/25, 14/60, 310/99

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 69/11, 99/25, 14/60, 310/99?

Answer: GCF of Numerators as per given numbers 69/11, 99/25, 14/60, 310/99 is

GCF of Numerators i.e. for 69,99,14,310 is 1

LCM of denominators i.e. for 11,25,60,99 is 9900.

Thus, GCF of Fractions is 1/9900.Finally, GCF of Fractions for 69/11, 99/25, 14/60, 310/99 is 1/9900.