How to Find GCF of 8043/197, 3001/8043?

GCF of 8043/197, 3001/8043

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 8043/197, 3001/8043 i.e 1/1584471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8043/197, 3001/8043.

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 8043/197,3001/8043?

Given fractions are 8043/197,3001/8043

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 8043/197,3001/8043, numerators are 8043,3001

Denominators are 197,8043

The GCF of 8043,3001 is 1 .

LCM of 197,8043 is 1584471.

The greatest common factor of 8043/197,3001/8043 = [GCF of 8043,3001]/[LCM of 197,8043]= 1/1584471

Therefore, the GCF of 8043/197,3001/8043 is 1/1584471.

Greatest Common Factor of 8043,3001

To find the highest common factor of 8043,3001, we have to find the factors of both numbers and list the highest common factor.

The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043

The factors of 3001 are 1, 3001

The HCF of 8043,3001 is 1.

Lets's calculate GCF of 8043,3001

Greatest Common Factor (GCF) of 8043,3001 By Common Division

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

Greatest Common Factor of 8043,3001 By Matching Biggest Common Factor Method

Now, list down the factors of 8043

1,3,7,21,383,1149,2681,8043

Now, list down the factors of 3001

1,3001

Greatest Common Factor

We found the factors 8043,3001 . The biggest common factor number is the GCF number.
So the greatest common factor 8043,3001 is 1.

Lets's calculate LCM of 197,8043

Lowest Common Multiple of 197,8043 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1584471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584471

Therefore, the GCF of Fractions 8043/197,3001/8043 is 1/1584471

Least Common Multiple of 197,8043 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 197,8043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,8043) = 1

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

GCF(197,8043) x common factors =1 x 1 = 1

LCM(197,8043) = ( 197 × 8043 ) / 1

LCM(197,8043) = 1584471 / 1

LCM(197,8043) = 1584471

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FAQs on GCF of Fractions of 8043/197, 3001/8043

1. What is the HCF of 8043,3001?

The HCF of 8043,3001 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 8043/197, 3001/8043?

Answer: GCF of Numerators as per given numbers 8043/197, 3001/8043 is

GCF of Numerators i.e. for 8043,3001 is 1

LCM of denominators i.e. for 197,8043 is 1584471.

Thus, GCF of Fractions is 1/1584471.Finally, GCF of Fractions for 8043/197, 3001/8043 is 1/1584471.