How to Find GCF of 8047/904, 3893/2294?

GCF of 8047/904, 3893/2294

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 8047/904, 3893/2294 i.e 1/1036888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8047/904, 3893/2294.

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 8047/904,3893/2294?

Given fractions are 8047/904,3893/2294

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 8047/904,3893/2294, numerators are 8047,3893

Denominators are 904,2294

The GCF of 8047,3893 is 1 .

LCM of 904,2294 is 1036888.

The greatest common factor of 8047/904,3893/2294 = [GCF of 8047,3893]/[LCM of 904,2294]= 1/1036888

Therefore, the GCF of 8047/904,3893/2294 is 1/1036888.

Greatest Common Factor of 8047,3893

To find the highest common factor of 8047,3893, we have to find the factors of both numbers and list the highest common factor.

The factors of 8047 are 1, 13, 619, 8047

The factors of 3893 are 1, 17, 229, 3893

The HCF of 8047,3893 is 1.

Lets's calculate GCF of 8047,3893

Greatest Common Factor (GCF) of 8047,3893 By Common Division

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

Greatest Common Factor of 8047,3893 By Matching Biggest Common Factor Method

Now, list down the factors of 8047

1,13,619,8047

Now, list down the factors of 3893

1,17,229,3893

Greatest Common Factor

We found the factors 8047,3893 . The biggest common factor number is the GCF number.
So the greatest common factor 8047,3893 is 1.

Lets's calculate LCM of 904,2294

Lowest Common Multiple of 904,2294 using Common Division

2	904, 2294
	452, 1147

∴ So the LCM of the given numbers is 2 x 452 x 1147 = 1036888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036888

Therefore, the GCF of Fractions 8047/904,3893/2294 is 1/1036888

Least Common Multiple of 904,2294 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 904,2294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,2294) = 2

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

GCF(904,2294) x common factors =2 x 1 = 2

LCM(904,2294) = ( 904 × 2294 ) / 2

LCM(904,2294) = 2073776 / 2

LCM(904,2294) = 1036888

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8047/904, 3893/2294

1. What is the HCF of 8047,3893?

The HCF of 8047,3893 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 8047/904, 3893/2294?

Answer: GCF of Numerators as per given numbers 8047/904, 3893/2294 is

GCF of Numerators i.e. for 8047,3893 is 1

LCM of denominators i.e. for 904,2294 is 1036888.

Thus, GCF of Fractions is 1/1036888.Finally, GCF of Fractions for 8047/904, 3893/2294 is 1/1036888.