How to Find GCF of 5005/792, 3415/5753?

GCF of 5005/792, 3415/5753

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 5005/792, 3415/5753 i.e 5/414216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5005/792, 3415/5753.

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 5005/792,3415/5753?

Given fractions are 5005/792,3415/5753

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 5005/792,3415/5753, numerators are 5005,3415

Denominators are 792,5753

The GCF of 5005,3415 is 5 .

LCM of 792,5753 is 414216.

The greatest common factor of 5005/792,3415/5753 = [GCF of 5005,3415]/[LCM of 792,5753]= 5/414216

Therefore, the GCF of 5005/792,3415/5753 is 5/414216.

Greatest Common Factor of 5005,3415

To find the highest common factor of 5005,3415, we have to find the factors of both numbers and list the highest common factor.

The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005

The factors of 3415 are 1, 5, 683, 3415

The HCF of 5005,3415 is 5.

Lets's calculate GCF of 5005,3415

Greatest Common Factor (GCF) of 5005,3415 By Common Division

5	5005, 3415
	1001, 683

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5005,3415 By Matching Biggest Common Factor Method

Now, list down the factors of 5005

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Now, list down the factors of 3415

1,5,683,3415

Greatest Common Factor

We found the factors 5005,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 5005,3415 is 5.

Lets's calculate LCM of 792,5753

Lowest Common Multiple of 792,5753 using Common Division

11	792, 5753
	72, 523

∴ So the LCM of the given numbers is 11 x 72 x 523 = 414216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/414216

Therefore, the GCF of Fractions 5005/792,3415/5753 is 5/414216

Least Common Multiple of 792,5753 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 792,5753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,5753) = 11

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

GCF(792,5753) x common factors =11 x 1 = 11

LCM(792,5753) = ( 792 × 5753 ) / 11

LCM(792,5753) = 4556376 / 11

LCM(792,5753) = 414216

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FAQs on GCF of Fractions of 5005/792, 3415/5753

1. What is the HCF of 5005,3415?

The HCF of 5005,3415 is 5

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 5005/792, 3415/5753?

Answer: GCF of Numerators as per given numbers 5005/792, 3415/5753 is

GCF of Numerators i.e. for 5005,3415 is 5

LCM of denominators i.e. for 792,5753 is 414216.

Thus, GCF of Fractions is 5/414216.Finally, GCF of Fractions for 5005/792, 3415/5753 is 5/414216.