How to Find GCF of 8245/655, 7273/3744?

GCF of 8245/655, 7273/3744

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 8245/655, 7273/3744 i.e 1/2452320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8245/655, 7273/3744.

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 8245/655,7273/3744?

Given fractions are 8245/655,7273/3744

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 8245/655,7273/3744, numerators are 8245,7273

Denominators are 655,3744

The GCF of 8245,7273 is 1 .

LCM of 655,3744 is 2452320.

The greatest common factor of 8245/655,7273/3744 = [GCF of 8245,7273]/[LCM of 655,3744]= 1/2452320

Therefore, the GCF of 8245/655,7273/3744 is 1/2452320.

Greatest Common Factor of 8245,7273

To find the highest common factor of 8245,7273, we have to find the factors of both numbers and list the highest common factor.

The factors of 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245

The factors of 7273 are 1, 7, 1039, 7273

The HCF of 8245,7273 is 1.

Lets's calculate GCF of 8245,7273

Greatest Common Factor (GCF) of 8245,7273 By Common Division

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

Greatest Common Factor of 8245,7273 By Matching Biggest Common Factor Method

Now, list down the factors of 8245

1,5,17,85,97,485,1649,8245

Now, list down the factors of 7273

1,7,1039,7273

Greatest Common Factor

We found the factors 8245,7273 . The biggest common factor number is the GCF number.
So the greatest common factor 8245,7273 is 1.

Lets's calculate LCM of 655,3744

Lowest Common Multiple of 655,3744 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2452320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2452320

Therefore, the GCF of Fractions 8245/655,7273/3744 is 1/2452320

Least Common Multiple of 655,3744 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 655,3744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,3744) = 1

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

GCF(655,3744) x common factors =1 x 1 = 1

LCM(655,3744) = ( 655 × 3744 ) / 1

LCM(655,3744) = 2452320 / 1

LCM(655,3744) = 2452320

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8245/655, 7273/3744

1. What is the HCF of 8245,7273?

The HCF of 8245,7273 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 8245/655, 7273/3744?

Answer: GCF of Numerators as per given numbers 8245/655, 7273/3744 is

GCF of Numerators i.e. for 8245,7273 is 1

LCM of denominators i.e. for 655,3744 is 2452320.

Thus, GCF of Fractions is 1/2452320.Finally, GCF of Fractions for 8245/655, 7273/3744 is 1/2452320.