How to Find GCF of 3614/309, 4271/6804?

GCF of 3614/309, 4271/6804

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 3614/309, 4271/6804 i.e 1/700812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3614/309, 4271/6804.

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 3614/309,4271/6804?

Given fractions are 3614/309,4271/6804

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 3614/309,4271/6804, numerators are 3614,4271

Denominators are 309,6804

The GCF of 3614,4271 is 1 .

LCM of 309,6804 is 700812.

The greatest common factor of 3614/309,4271/6804 = [GCF of 3614,4271]/[LCM of 309,6804]= 1/700812

Therefore, the GCF of 3614/309,4271/6804 is 1/700812.

Greatest Common Factor of 3614,4271

To find the highest common factor of 3614,4271, we have to find the factors of both numbers and list the highest common factor.

The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614

The factors of 4271 are 1, 4271

The HCF of 3614,4271 is 1.

Lets's calculate GCF of 3614,4271

Greatest Common Factor (GCF) of 3614,4271 By Common Division

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

Greatest Common Factor of 3614,4271 By Matching Biggest Common Factor Method

Now, list down the factors of 3614

1,2,13,26,139,278,1807,3614

Now, list down the factors of 4271

1,4271

Greatest Common Factor

We found the factors 3614,4271 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,4271 is 1.

Lets's calculate LCM of 309,6804

Lowest Common Multiple of 309,6804 using Common Division

3	309, 6804
	103, 2268

∴ So the LCM of the given numbers is 3 x 103 x 2268 = 700812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700812

Therefore, the GCF of Fractions 3614/309,4271/6804 is 1/700812

Least Common Multiple of 309,6804 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 309,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,6804) = 3

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

GCF(309,6804) x common factors =3 x 1 = 3

LCM(309,6804) = ( 309 × 6804 ) / 3

LCM(309,6804) = 2102436 / 3

LCM(309,6804) = 700812

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3614/309, 4271/6804

1. What is the HCF of 3614,4271?

The HCF of 3614,4271 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 3614/309, 4271/6804?

Answer: GCF of Numerators as per given numbers 3614/309, 4271/6804 is

GCF of Numerators i.e. for 3614,4271 is 1

LCM of denominators i.e. for 309,6804 is 700812.

Thus, GCF of Fractions is 1/700812.Finally, GCF of Fractions for 3614/309, 4271/6804 is 1/700812.