Greatest Common Factor of 1221/67, 9207/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1221/67, 9207/604

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 1221/67,9207/604

Given fractions are 1221/67,9207/604

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 1221,9207

Greatest Common Factor of Numerators i.e. GCF of 1221,9207 is 33 .

LCM of Denominators means LCM of 67,604 as per the given fractions.

LCM of 67,604 is 40468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1221,9207

GCF of Fractions 1221/67,9207/604 is 33/40468

3 1221, 9207
11 407, 3069
37, 279

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 1221,9207 By Matching Biggest Common Factor Method

Greatest Common Factor of 1221,9207 By Matching Biggest Common Factor Method

Factors of 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1,3,11,33,37,111,407,1221

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Greatest Common Factor

We found the factors 1221,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 1221,9207 is 33.

Lets's calculate LCM of 67,604

Given numbers has no common factors except 1. So, there LCM is their product i.e 40468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/40468

Therefore, the GCF of Fractions 1221/67,9207/604 is 33/40468

Least Common Multiple of 67,604 with GCF Formula

Least Common Multiple of 67,604 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 67,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,604) = 1

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

GCF(67,604) x common factors =1 x 1 = 1

LCM(67,604) = ( 67 × 604 ) / 1

LCM(67,604) = 40468 / 1

LCM(67,604) = 40468


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 1221/67, 9207/604

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 1221/67, 9207/604?

Answer: GCF of Numerators as per given numbers 1221/67, 9207/604 is

GCF of Numerators i.e. for 1221,9207 is 33

LCM of denominators i.e. for 67,604 is 40468.

Thus, GCF of Fractions is 33/40468.Finally, GCF of Fractions for 1221/67, 9207/604 is 33/40468.