How to Find GCF of 443/104, 5418/588?

GCF of 443/104, 5418/588

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 443/104, 5418/588 i.e 1/15288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/104, 5418/588.

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 443/104,5418/588?

Given fractions are 443/104,5418/588

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 443/104,5418/588, numerators are 443,5418

Denominators are 104,588

The GCF of 443,5418 is 1 .

LCM of 104,588 is 15288.

The greatest common factor of 443/104,5418/588 = [GCF of 443,5418]/[LCM of 104,588]= 1/15288

Therefore, the GCF of 443/104,5418/588 is 1/15288.

Greatest Common Factor of 443,5418

To find the highest common factor of 443,5418, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418

The HCF of 443,5418 is 1.

Lets's calculate GCF of 443,5418

Greatest Common Factor (GCF) of 443,5418 By Common Division

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

Greatest Common Factor of 443,5418 By Matching Biggest Common Factor Method

Now, list down the factors of 443

1,443

Now, list down the factors of 5418

1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418

Greatest Common Factor

We found the factors 443,5418 . The biggest common factor number is the GCF number.
So the greatest common factor 443,5418 is 1.

Lets's calculate LCM of 104,588

Lowest Common Multiple of 104,588 using Common Division

2	104, 588
2	52, 294
	26, 147

∴ So the LCM of the given numbers is 2 x 2 x 26 x 147 = 15288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15288

Therefore, the GCF of Fractions 443/104,5418/588 is 1/15288

Least Common Multiple of 104,588 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 104,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,588) = 4

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

GCF(104,588) x common factors =4 x 1 = 4

LCM(104,588) = ( 104 × 588 ) / 4

LCM(104,588) = 61152 / 4

LCM(104,588) = 15288

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FAQs on GCF of Fractions of 443/104, 5418/588

1. What is the HCF of 443,5418?

The HCF of 443,5418 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 443/104, 5418/588?

Answer: GCF of Numerators as per given numbers 443/104, 5418/588 is

GCF of Numerators i.e. for 443,5418 is 1

LCM of denominators i.e. for 104,588 is 15288.

Thus, GCF of Fractions is 1/15288.Finally, GCF of Fractions for 443/104, 5418/588 is 1/15288.