How to Find GCF of 4493/544, 3728/5440?

GCF of 4493/544, 3728/5440

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 4493/544, 3728/5440 i.e 1/5440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4493/544, 3728/5440.

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 4493/544,3728/5440?

Given fractions are 4493/544,3728/5440

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 4493/544,3728/5440, numerators are 4493,3728

Denominators are 544,5440

The GCF of 4493,3728 is 1 .

LCM of 544,5440 is 5440.

The greatest common factor of 4493/544,3728/5440 = [GCF of 4493,3728]/[LCM of 544,5440]= 1/5440

Therefore, the GCF of 4493/544,3728/5440 is 1/5440.

Greatest Common Factor of 4493,3728

To find the highest common factor of 4493,3728, we have to find the factors of both numbers and list the highest common factor.

The factors of 4493 are 1, 4493

The factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

The HCF of 4493,3728 is 1.

Lets's calculate GCF of 4493,3728

Greatest Common Factor (GCF) of 4493,3728 By Common Division

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

Greatest Common Factor of 4493,3728 By Matching Biggest Common Factor Method

Now, list down the factors of 4493

1,4493

Now, list down the factors of 3728

1,2,4,8,16,233,466,932,1864,3728

Greatest Common Factor

We found the factors 4493,3728 . The biggest common factor number is the GCF number.
So the greatest common factor 4493,3728 is 1.

Lets's calculate LCM of 544,5440

Lowest Common Multiple of 544,5440 using Common Division

2	544, 5440
2	272, 2720
2	136, 1360
2	68, 680
2	34, 340
17	17, 170
	1, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 17 x 1 x 10 = 5440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5440

Therefore, the GCF of Fractions 4493/544,3728/5440 is 1/5440

Least Common Multiple of 544,5440 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 544,5440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,5440) = 544

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

GCF(544,5440) x common factors =544 x 1 = 544

LCM(544,5440) = ( 544 × 5440 ) / 544

LCM(544,5440) = 2959360 / 544

LCM(544,5440) = 5440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4493/544, 3728/5440

1. What is the HCF of 4493,3728?

The HCF of 4493,3728 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 4493/544, 3728/5440?

Answer: GCF of Numerators as per given numbers 4493/544, 3728/5440 is

GCF of Numerators i.e. for 4493,3728 is 1

LCM of denominators i.e. for 544,5440 is 5440.

Thus, GCF of Fractions is 1/5440.Finally, GCF of Fractions for 4493/544, 3728/5440 is 1/5440.