How to Find GCF of 3809/243, 3302/9031?

GCF of 3809/243, 3302/9031

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 3809/243, 3302/9031 i.e 13/2194533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3809/243, 3302/9031.

Enter two or more fractions separated by "commas"

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

What is the GCF of 3809/243,3302/9031?

Given fractions are 3809/243,3302/9031

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 3809/243,3302/9031, numerators are 3809,3302

Denominators are 243,9031

The GCF of 3809,3302 is 13 .

LCM of 243,9031 is 2194533.

The greatest common factor of 3809/243,3302/9031 = [GCF of 3809,3302]/[LCM of 243,9031]= 13/2194533

Therefore, the GCF of 3809/243,3302/9031 is 13/2194533.

Greatest Common Factor of 3809,3302

To find the highest common factor of 3809,3302, we have to find the factors of both numbers and list the highest common factor.

The factors of 3809 are 1, 13, 293, 3809

The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302

The HCF of 3809,3302 is 13.

Lets's calculate GCF of 3809,3302

Greatest Common Factor (GCF) of 3809,3302 By Common Division

13	3809, 3302
	293, 254

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3809,3302 By Matching Biggest Common Factor Method

Now, list down the factors of 3809

1,13,293,3809

Now, list down the factors of 3302

1,2,13,26,127,254,1651,3302

Greatest Common Factor

We found the factors 3809,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 3809,3302 is 13.

Lets's calculate LCM of 243,9031

Lowest Common Multiple of 243,9031 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2194533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2194533

Therefore, the GCF of Fractions 3809/243,3302/9031 is 13/2194533

Least Common Multiple of 243,9031 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 243,9031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,9031) = 1

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

GCF(243,9031) x common factors =1 x 1 = 1

LCM(243,9031) = ( 243 × 9031 ) / 1

LCM(243,9031) = 2194533 / 1

LCM(243,9031) = 2194533

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FAQs on GCF of Fractions of 3809/243, 3302/9031

1. What is the HCF of 3809,3302?

The HCF of 3809,3302 is 13

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 3809/243, 3302/9031?

Answer: GCF of Numerators as per given numbers 3809/243, 3302/9031 is

GCF of Numerators i.e. for 3809,3302 is 13

LCM of denominators i.e. for 243,9031 is 2194533.

Thus, GCF of Fractions is 13/2194533.Finally, GCF of Fractions for 3809/243, 3302/9031 is 13/2194533.