How to Find GCF of 8204/978, 1193/6256?

GCF of 8204/978, 1193/6256

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 8204/978, 1193/6256 i.e 1/3059184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8204/978, 1193/6256.

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 8204/978,1193/6256?

Given fractions are 8204/978,1193/6256

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 8204/978,1193/6256, numerators are 8204,1193

Denominators are 978,6256

The GCF of 8204,1193 is 1 .

LCM of 978,6256 is 3059184.

The greatest common factor of 8204/978,1193/6256 = [GCF of 8204,1193]/[LCM of 978,6256]= 1/3059184

Therefore, the GCF of 8204/978,1193/6256 is 1/3059184.

Greatest Common Factor of 8204,1193

To find the highest common factor of 8204,1193, we have to find the factors of both numbers and list the highest common factor.

The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204

The factors of 1193 are 1, 1193

The HCF of 8204,1193 is 1.

Lets's calculate GCF of 8204,1193

Greatest Common Factor (GCF) of 8204,1193 By Common Division

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

Greatest Common Factor of 8204,1193 By Matching Biggest Common Factor Method

Now, list down the factors of 8204

1,2,4,7,14,28,293,586,1172,2051,4102,8204

Now, list down the factors of 1193

1,1193

Greatest Common Factor

We found the factors 8204,1193 . The biggest common factor number is the GCF number.
So the greatest common factor 8204,1193 is 1.

Lets's calculate LCM of 978,6256

Lowest Common Multiple of 978,6256 using Common Division

2	978, 6256
	489, 3128

∴ So the LCM of the given numbers is 2 x 489 x 3128 = 3059184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3059184

Therefore, the GCF of Fractions 8204/978,1193/6256 is 1/3059184

Least Common Multiple of 978,6256 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 978,6256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,6256) = 2

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

GCF(978,6256) x common factors =2 x 1 = 2

LCM(978,6256) = ( 978 × 6256 ) / 2

LCM(978,6256) = 6118368 / 2

LCM(978,6256) = 3059184

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8204/978, 1193/6256

1. What is the HCF of 8204,1193?

The HCF of 8204,1193 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 8204/978, 1193/6256?

Answer: GCF of Numerators as per given numbers 8204/978, 1193/6256 is

GCF of Numerators i.e. for 8204,1193 is 1

LCM of denominators i.e. for 978,6256 is 3059184.

Thus, GCF of Fractions is 1/3059184.Finally, GCF of Fractions for 8204/978, 1193/6256 is 1/3059184.