Greatest Common Factor of 1221/690, 4071/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1221/690, 4071/307

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 1221/690,4071/307

Given fractions are 1221/690,4071/307

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 1221,4071

Greatest Common Factor of Numerators i.e. GCF of 1221,4071 is 3 .

LCM of Denominators means LCM of 690,307 as per the given fractions.

LCM of 690,307 is 211830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1221,4071

GCF of Fractions 1221/690,4071/307 is 3/211830

3 1221, 4071
407, 1357

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1221,4071 By Matching Biggest Common Factor Method

Greatest Common Factor of 1221,4071 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 4071

List of positive integer factors of 4071 that divides 4071 without a remainder.

1,3,23,59,69,177,1357,4071

Greatest Common Factor

We found the factors 1221,4071 . The biggest common factor number is the GCF number.
So the greatest common factor 1221,4071 is 3.

Lets's calculate LCM of 690,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 211830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/211830

Therefore, the GCF of Fractions 1221/690,4071/307 is 3/211830

Least Common Multiple of 690,307 with GCF Formula

Least Common Multiple of 690,307 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 690,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,307) = 1

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

GCF(690,307) x common factors =1 x 1 = 1

LCM(690,307) = ( 690 × 307 ) / 1

LCM(690,307) = 211830 / 1

LCM(690,307) = 211830


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 1221/690, 4071/307

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 1221/690, 4071/307?

Answer: GCF of Numerators as per given numbers 1221/690, 4071/307 is

GCF of Numerators i.e. for 1221,4071 is 3

LCM of denominators i.e. for 690,307 is 211830.

Thus, GCF of Fractions is 3/211830.Finally, GCF of Fractions for 1221/690, 4071/307 is 3/211830.