How to Find GCF of 4411/423, 8233/4231?

GCF of 4411/423, 8233/4231

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 4411/423, 8233/4231 i.e 1/1789713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4411/423, 8233/4231.

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 4411/423,8233/4231?

Given fractions are 4411/423,8233/4231

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 4411/423,8233/4231, numerators are 4411,8233

Denominators are 423,4231

The GCF of 4411,8233 is 1 .

LCM of 423,4231 is 1789713.

The greatest common factor of 4411/423,8233/4231 = [GCF of 4411,8233]/[LCM of 423,4231]= 1/1789713

Therefore, the GCF of 4411/423,8233/4231 is 1/1789713.

Greatest Common Factor of 4411,8233

To find the highest common factor of 4411,8233, we have to find the factors of both numbers and list the highest common factor.

The factors of 4411 are 1, 11, 401, 4411

The factors of 8233 are 1, 8233

The HCF of 4411,8233 is 1.

Lets's calculate GCF of 4411,8233

Greatest Common Factor (GCF) of 4411,8233 By Common Division

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

Greatest Common Factor of 4411,8233 By Matching Biggest Common Factor Method

Now, list down the factors of 4411

1,11,401,4411

Now, list down the factors of 8233

1,8233

Greatest Common Factor

We found the factors 4411,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 4411,8233 is 1.

Lets's calculate LCM of 423,4231

Lowest Common Multiple of 423,4231 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1789713

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1789713

Therefore, the GCF of Fractions 4411/423,8233/4231 is 1/1789713

Least Common Multiple of 423,4231 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 423,4231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,4231) = 1

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

GCF(423,4231) x common factors =1 x 1 = 1

LCM(423,4231) = ( 423 × 4231 ) / 1

LCM(423,4231) = 1789713 / 1

LCM(423,4231) = 1789713

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4411/423, 8233/4231

1. What is the HCF of 4411,8233?

The HCF of 4411,8233 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 4411/423, 8233/4231?

Answer: GCF of Numerators as per given numbers 4411/423, 8233/4231 is

GCF of Numerators i.e. for 4411,8233 is 1

LCM of denominators i.e. for 423,4231 is 1789713.

Thus, GCF of Fractions is 1/1789713.Finally, GCF of Fractions for 4411/423, 8233/4231 is 1/1789713.