How to Find GCF of 8081/793, 1241/6046?

GCF of 8081/793, 1241/6046

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 8081/793, 1241/6046 i.e 1/4794478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8081/793, 1241/6046.

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 8081/793,1241/6046?

Given fractions are 8081/793,1241/6046

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 8081/793,1241/6046, numerators are 8081,1241

Denominators are 793,6046

The GCF of 8081,1241 is 1 .

LCM of 793,6046 is 4794478.

The greatest common factor of 8081/793,1241/6046 = [GCF of 8081,1241]/[LCM of 793,6046]= 1/4794478

Therefore, the GCF of 8081/793,1241/6046 is 1/4794478.

Greatest Common Factor of 8081,1241

To find the highest common factor of 8081,1241, we have to find the factors of both numbers and list the highest common factor.

The factors of 8081 are 1, 8081

The factors of 1241 are 1, 17, 73, 1241

The HCF of 8081,1241 is 1.

Lets's calculate GCF of 8081,1241

Greatest Common Factor (GCF) of 8081,1241 By Common Division

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

Greatest Common Factor of 8081,1241 By Matching Biggest Common Factor Method

Now, list down the factors of 8081

1,8081

Now, list down the factors of 1241

1,17,73,1241

Greatest Common Factor

We found the factors 8081,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 8081,1241 is 1.

Lets's calculate LCM of 793,6046

Lowest Common Multiple of 793,6046 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4794478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4794478

Therefore, the GCF of Fractions 8081/793,1241/6046 is 1/4794478

Least Common Multiple of 793,6046 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 793,6046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,6046) = 1

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

GCF(793,6046) x common factors =1 x 1 = 1

LCM(793,6046) = ( 793 × 6046 ) / 1

LCM(793,6046) = 4794478 / 1

LCM(793,6046) = 4794478

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FAQs on GCF of Fractions of 8081/793, 1241/6046

1. What is the HCF of 8081,1241?

The HCF of 8081,1241 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 8081/793, 1241/6046?

Answer: GCF of Numerators as per given numbers 8081/793, 1241/6046 is

GCF of Numerators i.e. for 8081,1241 is 1

LCM of denominators i.e. for 793,6046 is 4794478.

Thus, GCF of Fractions is 1/4794478.Finally, GCF of Fractions for 8081/793, 1241/6046 is 1/4794478.