How to Find GCF of 8407/404, 8093/8042?

GCF of 8407/404, 8093/8042

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 8407/404, 8093/8042 i.e 1/1624484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8407/404, 8093/8042.

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 8407/404,8093/8042?

Given fractions are 8407/404,8093/8042

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 8407/404,8093/8042, numerators are 8407,8093

Denominators are 404,8042

The GCF of 8407,8093 is 1 .

LCM of 404,8042 is 1624484.

The greatest common factor of 8407/404,8093/8042 = [GCF of 8407,8093]/[LCM of 404,8042]= 1/1624484

Therefore, the GCF of 8407/404,8093/8042 is 1/1624484.

Greatest Common Factor of 8407,8093

To find the highest common factor of 8407,8093, we have to find the factors of both numbers and list the highest common factor.

The factors of 8407 are 1, 7, 1201, 8407

The factors of 8093 are 1, 8093

The HCF of 8407,8093 is 1.

Lets's calculate GCF of 8407,8093

Greatest Common Factor (GCF) of 8407,8093 By Common Division

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

Greatest Common Factor of 8407,8093 By Matching Biggest Common Factor Method

Now, list down the factors of 8407

1,7,1201,8407

Now, list down the factors of 8093

1,8093

Greatest Common Factor

We found the factors 8407,8093 . The biggest common factor number is the GCF number.
So the greatest common factor 8407,8093 is 1.

Lets's calculate LCM of 404,8042

Lowest Common Multiple of 404,8042 using Common Division

2	404, 8042
	202, 4021

∴ So the LCM of the given numbers is 2 x 202 x 4021 = 1624484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624484

Therefore, the GCF of Fractions 8407/404,8093/8042 is 1/1624484

Least Common Multiple of 404,8042 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 404,8042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,8042) = 2

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

GCF(404,8042) x common factors =2 x 1 = 2

LCM(404,8042) = ( 404 × 8042 ) / 2

LCM(404,8042) = 3248968 / 2

LCM(404,8042) = 1624484

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FAQs on GCF of Fractions of 8407/404, 8093/8042

1. What is the HCF of 8407,8093?

The HCF of 8407,8093 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 8407/404, 8093/8042?

Answer: GCF of Numerators as per given numbers 8407/404, 8093/8042 is

GCF of Numerators i.e. for 8407,8093 is 1

LCM of denominators i.e. for 404,8042 is 1624484.

Thus, GCF of Fractions is 1/1624484.Finally, GCF of Fractions for 8407/404, 8093/8042 is 1/1624484.