How to Find GCF of 4133/576, 7259/7464?

GCF of 4133/576, 7259/7464

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 4133/576, 7259/7464 i.e 1/179136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4133/576, 7259/7464.

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 4133/576,7259/7464?

Given fractions are 4133/576,7259/7464

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 4133/576,7259/7464, numerators are 4133,7259

Denominators are 576,7464

The GCF of 4133,7259 is 1 .

LCM of 576,7464 is 179136.

The greatest common factor of 4133/576,7259/7464 = [GCF of 4133,7259]/[LCM of 576,7464]= 1/179136

Therefore, the GCF of 4133/576,7259/7464 is 1/179136.

Greatest Common Factor of 4133,7259

To find the highest common factor of 4133,7259, we have to find the factors of both numbers and list the highest common factor.

The factors of 4133 are 1, 4133

The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259

The HCF of 4133,7259 is 1.

Lets's calculate GCF of 4133,7259

Greatest Common Factor (GCF) of 4133,7259 By Common Division

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

Greatest Common Factor of 4133,7259 By Matching Biggest Common Factor Method

Now, list down the factors of 4133

1,4133

Now, list down the factors of 7259

1,7,17,61,119,427,1037,7259

Greatest Common Factor

We found the factors 4133,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,7259 is 1.

Lets's calculate LCM of 576,7464

Lowest Common Multiple of 576,7464 using Common Division

2	576, 7464
2	288, 3732
2	144, 1866
3	72, 933
	24, 311

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 24 x 311 = 179136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179136

Therefore, the GCF of Fractions 4133/576,7259/7464 is 1/179136

Least Common Multiple of 576,7464 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 576,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,7464) = 24

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

GCF(576,7464) x common factors =24 x 1 = 24

LCM(576,7464) = ( 576 × 7464 ) / 24

LCM(576,7464) = 4299264 / 24

LCM(576,7464) = 179136

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FAQs on GCF of Fractions of 4133/576, 7259/7464

1. What is the HCF of 4133,7259?

The HCF of 4133,7259 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 4133/576, 7259/7464?

Answer: GCF of Numerators as per given numbers 4133/576, 7259/7464 is

GCF of Numerators i.e. for 4133,7259 is 1

LCM of denominators i.e. for 576,7464 is 179136.

Thus, GCF of Fractions is 1/179136.Finally, GCF of Fractions for 4133/576, 7259/7464 is 1/179136.