Greatest Common Factor of 9/67, 99/17, 67/207, 306/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/67, 99/17, 67/207, 306/207

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 9/67,99/17,67/207,306/207

Given fractions are 9/67,99/17,67/207,306/207

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 9,99,67,306

Greatest Common Factor of Numerators i.e. GCF of 9,99,67,306 is 1 .

LCM of Denominators means LCM of 67,17,207,207 as per the given fractions.

LCM of 67,17,207,207 is 235773 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,99,67,306

GCF of Fractions 9/67,99/17,67/207,306/207 is 1/235773

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

Greatest Common Factor of 9,99,67,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,99,67,306 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 99

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

1,3,9,11,33,99

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 9,99,67,306 . The biggest common factor number is the GCF number.
So the greatest common factor 9,99,67,306 is 1.

Lets's calculate LCM of 67,17,207,207

3 67, 17, 207, 207
3 67, 17, 69, 69
23 67, 17, 23, 23
67, 17, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 23 x 67 x 17 x 1 x 1 = 235773

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235773

Therefore, the GCF of Fractions 9/67,99/17,67/207,306/207 is 1/235773

Least Common Multiple of 67,17,207,207 with GCF Formula

Least Common Multiple of 67,17,207,207 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 67,17,207,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,17,207,207) = 1

common factors(in case of two or more numbers have common factors) = 207

GCF(67,17,207,207) x common factors =1 x 207 = 207

LCM(67,17,207,207) = ( 67 × 17 × 207 × 207 ) / 207

LCM(67,17,207,207) = 48805011 / 207

LCM(67,17,207,207) = 235773


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 9/67, 99/17, 67/207, 306/207

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 9/67, 99/17, 67/207, 306/207?

Answer: GCF of Numerators as per given numbers 9/67, 99/17, 67/207, 306/207 is

GCF of Numerators i.e. for 9,99,67,306 is 1

LCM of denominators i.e. for 67,17,207,207 is 235773.

Thus, GCF of Fractions is 1/235773.Finally, GCF of Fractions for 9/67, 99/17, 67/207, 306/207 is 1/235773.