How to Find GCF of 5359/466, 1543/5256?

GCF of 5359/466, 1543/5256

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 5359/466, 1543/5256 i.e 1/1224648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5359/466, 1543/5256.

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 5359/466,1543/5256?

Given fractions are 5359/466,1543/5256

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 5359/466,1543/5256, numerators are 5359,1543

Denominators are 466,5256

The GCF of 5359,1543 is 1 .

LCM of 466,5256 is 1224648.

The greatest common factor of 5359/466,1543/5256 = [GCF of 5359,1543]/[LCM of 466,5256]= 1/1224648

Therefore, the GCF of 5359/466,1543/5256 is 1/1224648.

Greatest Common Factor of 5359,1543

To find the highest common factor of 5359,1543, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 1543 are 1, 1543

The HCF of 5359,1543 is 1.

Lets's calculate GCF of 5359,1543

Greatest Common Factor (GCF) of 5359,1543 By Common Division

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

Greatest Common Factor of 5359,1543 By Matching Biggest Common Factor Method

Now, list down the factors of 5359

1,23,233,5359

Now, list down the factors of 1543

1,1543

Greatest Common Factor

We found the factors 5359,1543 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,1543 is 1.

Lets's calculate LCM of 466,5256

Lowest Common Multiple of 466,5256 using Common Division

2	466, 5256
	233, 2628

∴ So the LCM of the given numbers is 2 x 233 x 2628 = 1224648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1224648

Therefore, the GCF of Fractions 5359/466,1543/5256 is 1/1224648

Least Common Multiple of 466,5256 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 466,5256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,5256) = 2

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

GCF(466,5256) x common factors =2 x 1 = 2

LCM(466,5256) = ( 466 × 5256 ) / 2

LCM(466,5256) = 2449296 / 2

LCM(466,5256) = 1224648

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FAQs on GCF of Fractions of 5359/466, 1543/5256

1. What is the HCF of 5359,1543?

The HCF of 5359,1543 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 5359/466, 1543/5256?

Answer: GCF of Numerators as per given numbers 5359/466, 1543/5256 is

GCF of Numerators i.e. for 5359,1543 is 1

LCM of denominators i.e. for 466,5256 is 1224648.

Thus, GCF of Fractions is 1/1224648.Finally, GCF of Fractions for 5359/466, 1543/5256 is 1/1224648.