How to Find GCF of 8297/792, 3713/8075?

GCF of 8297/792, 3713/8075

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 8297/792, 3713/8075 i.e 1/6395400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8297/792, 3713/8075.

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 8297/792,3713/8075?

Given fractions are 8297/792,3713/8075

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 8297/792,3713/8075, numerators are 8297,3713

Denominators are 792,8075

The GCF of 8297,3713 is 1 .

LCM of 792,8075 is 6395400.

The greatest common factor of 8297/792,3713/8075 = [GCF of 8297,3713]/[LCM of 792,8075]= 1/6395400

Therefore, the GCF of 8297/792,3713/8075 is 1/6395400.

Greatest Common Factor of 8297,3713

To find the highest common factor of 8297,3713, we have to find the factors of both numbers and list the highest common factor.

The factors of 8297 are 1, 8297

The factors of 3713 are 1, 47, 79, 3713

The HCF of 8297,3713 is 1.

Lets's calculate GCF of 8297,3713

Greatest Common Factor (GCF) of 8297,3713 By Common Division

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

Greatest Common Factor of 8297,3713 By Matching Biggest Common Factor Method

Now, list down the factors of 8297

1,8297

Now, list down the factors of 3713

1,47,79,3713

Greatest Common Factor

We found the factors 8297,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 8297,3713 is 1.

Lets's calculate LCM of 792,8075

Lowest Common Multiple of 792,8075 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6395400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6395400

Therefore, the GCF of Fractions 8297/792,3713/8075 is 1/6395400

Least Common Multiple of 792,8075 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 792,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,8075) = 1

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

GCF(792,8075) x common factors =1 x 1 = 1

LCM(792,8075) = ( 792 × 8075 ) / 1

LCM(792,8075) = 6395400 / 1

LCM(792,8075) = 6395400

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8297/792, 3713/8075

1. What is the HCF of 8297,3713?

The HCF of 8297,3713 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 8297/792, 3713/8075?

Answer: GCF of Numerators as per given numbers 8297/792, 3713/8075 is

GCF of Numerators i.e. for 8297,3713 is 1

LCM of denominators i.e. for 792,8075 is 6395400.

Thus, GCF of Fractions is 1/6395400.Finally, GCF of Fractions for 8297/792, 3713/8075 is 1/6395400.