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GCF of 7306/593, 8181/682

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 7306/593, 8181/682 i.e 1/404426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7306/593, 8181/682.

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 7306/593,8181/682?

Given fractions are 7306/593,8181/682

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 7306/593,8181/682, numerators are 7306,8181

Denominators are 593,682

The GCF of 7306,8181 is 1 .

LCM of 593,682 is 404426.

The greatest common factor of 7306/593,8181/682 = [GCF of 7306,8181]/[LCM of 593,682]= 1/404426

Therefore, the GCF of 7306/593,8181/682 is 1/404426.

Greatest Common Factor of 7306,8181

To find the highest common factor of 7306,8181, we have to find the factors of both numbers and list the highest common factor.

The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306

The factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181

The HCF of 7306,8181 is 1.

Lets's calculate GCF of 7306,8181

Greatest Common Factor (GCF) of 7306,8181 By Common Division

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

Greatest Common Factor of 7306,8181 By Matching Biggest Common Factor Method

Greatest Common Factor of 7306,8181 By Matching Biggest Common Factor Method

Now, list down the factors of 7306

:

1,2,13,26,281,562,3653,7306

Now, list down the factors of 8181

:

1,3,9,27,81,101,303,909,2727,8181

Greatest Common Factor

We found the factors 7306,8181 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,8181 is 1.


Lets's calculate LCM of 593,682

Lowest Common Multiple of 593,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 404426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404426

Therefore, the GCF of Fractions 7306/593,8181/682 is 1/404426

Least Common Multiple of 593,682 with GCF Formula

Least Common Multiple of 593,682 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 593,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,682) = 1

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

GCF(593,682) x common factors =1 x 1 = 1

LCM(593,682) = ( 593 × 682 ) / 1

LCM(593,682) = 404426 / 1

LCM(593,682) = 404426


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7306/593, 8181/682

1. What is the HCF of 7306,8181?

The HCF of 7306,8181 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 7306/593, 8181/682?

Answer: GCF of Numerators as per given numbers 7306/593, 8181/682 is

GCF of Numerators i.e. for 7306,8181 is 1

LCM of denominators i.e. for 593,682 is 404426.

Thus, GCF of Fractions is 1/404426.Finally, GCF of Fractions for 7306/593, 8181/682 is 1/404426.