LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 109/36, 663/1346

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 109/36, 663/1346 i.e 1/24228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 109/36, 663/1346.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 109/36,663/1346?

Given fractions are 109/36,663/1346

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 109/36,663/1346, numerators are 109,663

Denominators are 36,1346

The GCF of 109,663 is 1 .

LCM of 36,1346 is 24228.

The greatest common factor of 109/36,663/1346 = [GCF of 109,663]/[LCM of 36,1346]= 1/24228

Therefore, the GCF of 109/36,663/1346 is 1/24228.

Greatest Common Factor of 109,663

To find the highest common factor of 109,663, we have to find the factors of both numbers and list the highest common factor.

The factors of 109 are 1, 109

The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663

The HCF of 109,663 is 1.

Lets's calculate GCF of 109,663

Greatest Common Factor (GCF) of 109,663 By Common Division

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

Greatest Common Factor of 109,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,663 By Matching Biggest Common Factor Method

Now, list down the factors of 109

:

1,109

Now, list down the factors of 663

:

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 109,663 . The biggest common factor number is the GCF number.
So the greatest common factor 109,663 is 1.

Lets's calculate LCM of 36,1346

Lowest Common Multiple of 36,1346 using Common Division

2 36, 1346
18, 673

∴ So the LCM of the given numbers is 2 x 18 x 673 = 24228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24228

Therefore, the GCF of Fractions 109/36,663/1346 is 1/24228

Least Common Multiple of 36,1346 with GCF Formula

Least Common Multiple of 36,1346 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 36,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,1346) = 2

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

GCF(36,1346) x common factors =2 x 1 = 2

LCM(36,1346) = ( 36 × 1346 ) / 2

LCM(36,1346) = 48456 / 2

LCM(36,1346) = 24228


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 109/36, 663/1346

1. What is the HCF of 109,663?

The HCF of 109,663 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 109/36, 663/1346?

Answer: GCF of Numerators as per given numbers 109/36, 663/1346 is

GCF of Numerators i.e. for 109,663 is 1

LCM of denominators i.e. for 36,1346 is 24228.

Thus, GCF of Fractions is 1/24228.Finally, GCF of Fractions for 109/36, 663/1346 is 1/24228.