How to Find GCF of 4433/494, 8231/9182?

GCF of 4433/494, 8231/9182

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 4433/494, 8231/9182 i.e 1/2267954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4433/494, 8231/9182.

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 4433/494,8231/9182?

Given fractions are 4433/494,8231/9182

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 4433/494,8231/9182, numerators are 4433,8231

Denominators are 494,9182

The GCF of 4433,8231 is 1 .

LCM of 494,9182 is 2267954.

The greatest common factor of 4433/494,8231/9182 = [GCF of 4433,8231]/[LCM of 494,9182]= 1/2267954

Therefore, the GCF of 4433/494,8231/9182 is 1/2267954.

Greatest Common Factor of 4433,8231

To find the highest common factor of 4433,8231, we have to find the factors of both numbers and list the highest common factor.

The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433

The factors of 8231 are 1, 8231

The HCF of 4433,8231 is 1.

Lets's calculate GCF of 4433,8231

Greatest Common Factor (GCF) of 4433,8231 By Common Division

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

Greatest Common Factor of 4433,8231 By Matching Biggest Common Factor Method

Now, list down the factors of 4433

1,11,13,31,143,341,403,4433

Now, list down the factors of 8231

1,8231

Greatest Common Factor

We found the factors 4433,8231 . The biggest common factor number is the GCF number.
So the greatest common factor 4433,8231 is 1.

Lets's calculate LCM of 494,9182

Lowest Common Multiple of 494,9182 using Common Division

2	494, 9182
	247, 4591

∴ So the LCM of the given numbers is 2 x 247 x 4591 = 2267954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2267954

Therefore, the GCF of Fractions 4433/494,8231/9182 is 1/2267954

Least Common Multiple of 494,9182 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 494,9182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,9182) = 2

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

GCF(494,9182) x common factors =2 x 1 = 2

LCM(494,9182) = ( 494 × 9182 ) / 2

LCM(494,9182) = 4535908 / 2

LCM(494,9182) = 2267954

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FAQs on GCF of Fractions of 4433/494, 8231/9182

1. What is the HCF of 4433,8231?

The HCF of 4433,8231 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 4433/494, 8231/9182?

Answer: GCF of Numerators as per given numbers 4433/494, 8231/9182 is

GCF of Numerators i.e. for 4433,8231 is 1

LCM of denominators i.e. for 494,9182 is 2267954.

Thus, GCF of Fractions is 1/2267954.Finally, GCF of Fractions for 4433/494, 8231/9182 is 1/2267954.