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GCF of 2811/904, 2441/8034

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 2811/904, 2441/8034 i.e 1/3631368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2811/904, 2441/8034.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2811/904,2441/8034?

Given fractions are 2811/904,2441/8034

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 2811/904,2441/8034, numerators are 2811,2441

Denominators are 904,8034

The GCF of 2811,2441 is 1 .

LCM of 904,8034 is 3631368.

The greatest common factor of 2811/904,2441/8034 = [GCF of 2811,2441]/[LCM of 904,8034]= 1/3631368

Therefore, the GCF of 2811/904,2441/8034 is 1/3631368.

Greatest Common Factor of 2811,2441

To find the highest common factor of 2811,2441, we have to find the factors of both numbers and list the highest common factor.

The factors of 2811 are 1, 3, 937, 2811

The factors of 2441 are 1, 2441

The HCF of 2811,2441 is 1.

Lets's calculate GCF of 2811,2441

Greatest Common Factor (GCF) of 2811,2441 By Common Division

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

Greatest Common Factor of 2811,2441 By Matching Biggest Common Factor Method

Greatest Common Factor of 2811,2441 By Matching Biggest Common Factor Method

Now, list down the factors of 2811

:

1,3,937,2811

Now, list down the factors of 2441

:

1,2441

Greatest Common Factor

We found the factors 2811,2441 . The biggest common factor number is the GCF number.
So the greatest common factor 2811,2441 is 1.

Lets's calculate LCM of 904,8034

Lowest Common Multiple of 904,8034 using Common Division

2 904, 8034
452, 4017

∴ So the LCM of the given numbers is 2 x 452 x 4017 = 3631368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3631368

Therefore, the GCF of Fractions 2811/904,2441/8034 is 1/3631368

Least Common Multiple of 904,8034 with GCF Formula

Least Common Multiple of 904,8034 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 904,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,8034) = 2

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

GCF(904,8034) x common factors =2 x 1 = 2

LCM(904,8034) = ( 904 × 8034 ) / 2

LCM(904,8034) = 7262736 / 2

LCM(904,8034) = 3631368


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2811/904, 2441/8034

1. What is the HCF of 2811,2441?

The HCF of 2811,2441 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 2811/904, 2441/8034?

Answer: GCF of Numerators as per given numbers 2811/904, 2441/8034 is

GCF of Numerators i.e. for 2811,2441 is 1

LCM of denominators i.e. for 904,8034 is 3631368.

Thus, GCF of Fractions is 1/3631368.Finally, GCF of Fractions for 2811/904, 2441/8034 is 1/3631368.