How to Find GCF of 8635/197, 3281/8247?

GCF of 8635/197, 3281/8247

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 8635/197, 3281/8247 i.e 1/1624659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8635/197, 3281/8247.

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 8635/197,3281/8247?

Given fractions are 8635/197,3281/8247

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 8635/197,3281/8247, numerators are 8635,3281

Denominators are 197,8247

The GCF of 8635,3281 is 1 .

LCM of 197,8247 is 1624659.

The greatest common factor of 8635/197,3281/8247 = [GCF of 8635,3281]/[LCM of 197,8247]= 1/1624659

Therefore, the GCF of 8635/197,3281/8247 is 1/1624659.

Greatest Common Factor of 8635,3281

To find the highest common factor of 8635,3281, we have to find the factors of both numbers and list the highest common factor.

The factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635

The factors of 3281 are 1, 17, 193, 3281

The HCF of 8635,3281 is 1.

Lets's calculate GCF of 8635,3281

Greatest Common Factor (GCF) of 8635,3281 By Common Division

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

Greatest Common Factor of 8635,3281 By Matching Biggest Common Factor Method

Now, list down the factors of 8635

1,5,11,55,157,785,1727,8635

Now, list down the factors of 3281

1,17,193,3281

Greatest Common Factor

We found the factors 8635,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 8635,3281 is 1.

Lets's calculate LCM of 197,8247

Lowest Common Multiple of 197,8247 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1624659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624659

Therefore, the GCF of Fractions 8635/197,3281/8247 is 1/1624659

Least Common Multiple of 197,8247 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 197,8247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,8247) = 1

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

GCF(197,8247) x common factors =1 x 1 = 1

LCM(197,8247) = ( 197 × 8247 ) / 1

LCM(197,8247) = 1624659 / 1

LCM(197,8247) = 1624659

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8635/197, 3281/8247

1. What is the HCF of 8635,3281?

The HCF of 8635,3281 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 8635/197, 3281/8247?

Answer: GCF of Numerators as per given numbers 8635/197, 3281/8247 is

GCF of Numerators i.e. for 8635,3281 is 1

LCM of denominators i.e. for 197,8247 is 1624659.

Thus, GCF of Fractions is 1/1624659.Finally, GCF of Fractions for 8635/197, 3281/8247 is 1/1624659.