How to Find GCF of 4463/228, 5359/4924?

GCF of 4463/228, 5359/4924

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 4463/228, 5359/4924 i.e 1/280668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4463/228, 5359/4924.

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 4463/228,5359/4924?

Given fractions are 4463/228,5359/4924

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 4463/228,5359/4924, numerators are 4463,5359

Denominators are 228,4924

The GCF of 4463,5359 is 1 .

LCM of 228,4924 is 280668.

The greatest common factor of 4463/228,5359/4924 = [GCF of 4463,5359]/[LCM of 228,4924]= 1/280668

Therefore, the GCF of 4463/228,5359/4924 is 1/280668.

Greatest Common Factor of 4463,5359

To find the highest common factor of 4463,5359, we have to find the factors of both numbers and list the highest common factor.

The factors of 4463 are 1, 4463

The factors of 5359 are 1, 23, 233, 5359

The HCF of 4463,5359 is 1.

Lets's calculate GCF of 4463,5359

Greatest Common Factor (GCF) of 4463,5359 By Common Division

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

Greatest Common Factor of 4463,5359 By Matching Biggest Common Factor Method

Now, list down the factors of 4463

1,4463

Now, list down the factors of 5359

1,23,233,5359

Greatest Common Factor

We found the factors 4463,5359 . The biggest common factor number is the GCF number.
So the greatest common factor 4463,5359 is 1.

Lets's calculate LCM of 228,4924

Lowest Common Multiple of 228,4924 using Common Division

2	228, 4924
2	114, 2462
	57, 1231

∴ So the LCM of the given numbers is 2 x 2 x 57 x 1231 = 280668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280668

Therefore, the GCF of Fractions 4463/228,5359/4924 is 1/280668

Least Common Multiple of 228,4924 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 228,4924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,4924) = 4

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

GCF(228,4924) x common factors =4 x 1 = 4

LCM(228,4924) = ( 228 × 4924 ) / 4

LCM(228,4924) = 1122672 / 4

LCM(228,4924) = 280668

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FAQs on GCF of Fractions of 4463/228, 5359/4924

1. What is the HCF of 4463,5359?

The HCF of 4463,5359 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 4463/228, 5359/4924?

Answer: GCF of Numerators as per given numbers 4463/228, 5359/4924 is

GCF of Numerators i.e. for 4463,5359 is 1

LCM of denominators i.e. for 228,4924 is 280668.

Thus, GCF of Fractions is 1/280668.Finally, GCF of Fractions for 4463/228, 5359/4924 is 1/280668.