How to Find GCF of 5399/204, 1838/2384?

GCF of 5399/204, 1838/2384

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 5399/204, 1838/2384 i.e 1/121584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5399/204, 1838/2384.

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 5399/204,1838/2384?

Given fractions are 5399/204,1838/2384

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 5399/204,1838/2384, numerators are 5399,1838

Denominators are 204,2384

The GCF of 5399,1838 is 1 .

LCM of 204,2384 is 121584.

The greatest common factor of 5399/204,1838/2384 = [GCF of 5399,1838]/[LCM of 204,2384]= 1/121584

Therefore, the GCF of 5399/204,1838/2384 is 1/121584.

Greatest Common Factor of 5399,1838

To find the highest common factor of 5399,1838, we have to find the factors of both numbers and list the highest common factor.

The factors of 5399 are 1, 5399

The factors of 1838 are 1, 2, 919, 1838

The HCF of 5399,1838 is 1.

Lets's calculate GCF of 5399,1838

Greatest Common Factor (GCF) of 5399,1838 By Common Division

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

Greatest Common Factor of 5399,1838 By Matching Biggest Common Factor Method

Now, list down the factors of 5399

1,5399

Now, list down the factors of 1838

1,2,919,1838

Greatest Common Factor

We found the factors 5399,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 5399,1838 is 1.

Lets's calculate LCM of 204,2384

Lowest Common Multiple of 204,2384 using Common Division

2	204, 2384
2	102, 1192
	51, 596

∴ So the LCM of the given numbers is 2 x 2 x 51 x 596 = 121584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121584

Therefore, the GCF of Fractions 5399/204,1838/2384 is 1/121584

Least Common Multiple of 204,2384 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 204,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2384) = 4

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

GCF(204,2384) x common factors =4 x 1 = 4

LCM(204,2384) = ( 204 × 2384 ) / 4

LCM(204,2384) = 486336 / 4

LCM(204,2384) = 121584

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FAQs on GCF of Fractions of 5399/204, 1838/2384

1. What is the HCF of 5399,1838?

The HCF of 5399,1838 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 5399/204, 1838/2384?

Answer: GCF of Numerators as per given numbers 5399/204, 1838/2384 is

GCF of Numerators i.e. for 5399,1838 is 1

LCM of denominators i.e. for 204,2384 is 121584.

Thus, GCF of Fractions is 1/121584.Finally, GCF of Fractions for 5399/204, 1838/2384 is 1/121584.