How to Find GCF of 8003/404, 2405/8120?

GCF of 8003/404, 2405/8120

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 8003/404, 2405/8120 i.e 1/820120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8003/404, 2405/8120.

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 8003/404,2405/8120?

Given fractions are 8003/404,2405/8120

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 8003/404,2405/8120, numerators are 8003,2405

Denominators are 404,8120

The GCF of 8003,2405 is 1 .

LCM of 404,8120 is 820120.

The greatest common factor of 8003/404,2405/8120 = [GCF of 8003,2405]/[LCM of 404,8120]= 1/820120

Therefore, the GCF of 8003/404,2405/8120 is 1/820120.

Greatest Common Factor of 8003,2405

To find the highest common factor of 8003,2405, we have to find the factors of both numbers and list the highest common factor.

The factors of 8003 are 1, 53, 151, 8003

The factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405

The HCF of 8003,2405 is 1.

Lets's calculate GCF of 8003,2405

Greatest Common Factor (GCF) of 8003,2405 By Common Division

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

Greatest Common Factor of 8003,2405 By Matching Biggest Common Factor Method

Now, list down the factors of 8003

1,53,151,8003

Now, list down the factors of 2405

1,5,13,37,65,185,481,2405

Greatest Common Factor

We found the factors 8003,2405 . The biggest common factor number is the GCF number.
So the greatest common factor 8003,2405 is 1.

Lets's calculate LCM of 404,8120

Lowest Common Multiple of 404,8120 using Common Division

2	404, 8120
2	202, 4060
	101, 2030

∴ So the LCM of the given numbers is 2 x 2 x 101 x 2030 = 820120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/820120

Therefore, the GCF of Fractions 8003/404,2405/8120 is 1/820120

Least Common Multiple of 404,8120 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 404,8120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,8120) = 4

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

GCF(404,8120) x common factors =4 x 1 = 4

LCM(404,8120) = ( 404 × 8120 ) / 4

LCM(404,8120) = 3280480 / 4

LCM(404,8120) = 820120

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FAQs on GCF of Fractions of 8003/404, 2405/8120

1. What is the HCF of 8003,2405?

The HCF of 8003,2405 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 8003/404, 2405/8120?

Answer: GCF of Numerators as per given numbers 8003/404, 2405/8120 is

GCF of Numerators i.e. for 8003,2405 is 1

LCM of denominators i.e. for 404,8120 is 820120.

Thus, GCF of Fractions is 1/820120.Finally, GCF of Fractions for 8003/404, 2405/8120 is 1/820120.