Greatest Common Factor of 99/55, 680/25, 667/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/55, 680/25, 667/249

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 99/55,680/25,667/249

Given fractions are 99/55,680/25,667/249

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 99,680,667

Greatest Common Factor of Numerators i.e. GCF of 99,680,667 is 1 .

LCM of Denominators means LCM of 55,25,249 as per the given fractions.

LCM of 55,25,249 is 68475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,680,667

GCF of Fractions 99/55,680/25,667/249 is 1/68475

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

Greatest Common Factor of 99,680,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,680,667 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 99,680,667 . The biggest common factor number is the GCF number.
So the greatest common factor 99,680,667 is 1.

Lets's calculate LCM of 55,25,249

5 55, 25, 249
11, 5, 249

∴ So the LCM of the given numbers is 5 x 11 x 5 x 249 = 68475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68475

Therefore, the GCF of Fractions 99/55,680/25,667/249 is 1/68475

Least Common Multiple of 55,25,249 with GCF Formula

Least Common Multiple of 55,25,249 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 55,25,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,25,249) = 1

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

GCF(55,25,249) x common factors =1 x 5 = 5

LCM(55,25,249) = ( 55 × 25 × 249 ) / 5

LCM(55,25,249) = 342375 / 5

LCM(55,25,249) = 68475


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 99/55, 680/25, 667/249

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 99/55, 680/25, 667/249?

Answer: GCF of Numerators as per given numbers 99/55, 680/25, 667/249 is

GCF of Numerators i.e. for 99,680,667 is 1

LCM of denominators i.e. for 55,25,249 is 68475.

Thus, GCF of Fractions is 1/68475.Finally, GCF of Fractions for 99/55, 680/25, 667/249 is 1/68475.