How to Find GCF of 4504/669, 8353/9934?

GCF of 4504/669, 8353/9934

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 4504/669, 8353/9934 i.e 1/6645846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4504/669, 8353/9934.

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 4504/669,8353/9934?

Given fractions are 4504/669,8353/9934

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 4504/669,8353/9934, numerators are 4504,8353

Denominators are 669,9934

The GCF of 4504,8353 is 1 .

LCM of 669,9934 is 6645846.

The greatest common factor of 4504/669,8353/9934 = [GCF of 4504,8353]/[LCM of 669,9934]= 1/6645846

Therefore, the GCF of 4504/669,8353/9934 is 1/6645846.

Greatest Common Factor of 4504,8353

To find the highest common factor of 4504,8353, we have to find the factors of both numbers and list the highest common factor.

The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504

The factors of 8353 are 1, 8353

The HCF of 4504,8353 is 1.

Lets's calculate GCF of 4504,8353

Greatest Common Factor (GCF) of 4504,8353 By Common Division

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

Greatest Common Factor of 4504,8353 By Matching Biggest Common Factor Method

Now, list down the factors of 4504

1,2,4,8,563,1126,2252,4504

Now, list down the factors of 8353

1,8353

Greatest Common Factor

We found the factors 4504,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 4504,8353 is 1.

Lets's calculate LCM of 669,9934

Lowest Common Multiple of 669,9934 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6645846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6645846

Therefore, the GCF of Fractions 4504/669,8353/9934 is 1/6645846

Least Common Multiple of 669,9934 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 669,9934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,9934) = 1

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

GCF(669,9934) x common factors =1 x 1 = 1

LCM(669,9934) = ( 669 × 9934 ) / 1

LCM(669,9934) = 6645846 / 1

LCM(669,9934) = 6645846

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4504/669, 8353/9934

1. What is the HCF of 4504,8353?

The HCF of 4504,8353 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 4504/669, 8353/9934?

Answer: GCF of Numerators as per given numbers 4504/669, 8353/9934 is

GCF of Numerators i.e. for 4504,8353 is 1

LCM of denominators i.e. for 669,9934 is 6645846.

Thus, GCF of Fractions is 1/6645846.Finally, GCF of Fractions for 4504/669, 8353/9934 is 1/6645846.