How to Find GCF of 1833/276, 4209/5504?

GCF of 1833/276, 4209/5504

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 1833/276, 4209/5504 i.e 3/379776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1833/276, 4209/5504.

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 1833/276,4209/5504?

Given fractions are 1833/276,4209/5504

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 1833/276,4209/5504, numerators are 1833,4209

Denominators are 276,5504

The GCF of 1833,4209 is 3 .

LCM of 276,5504 is 379776.

The greatest common factor of 1833/276,4209/5504 = [GCF of 1833,4209]/[LCM of 276,5504]= 3/379776

Therefore, the GCF of 1833/276,4209/5504 is 3/379776.

Greatest Common Factor of 1833,4209

To find the highest common factor of 1833,4209, we have to find the factors of both numbers and list the highest common factor.

The factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833

The factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209

The HCF of 1833,4209 is 3.

Lets's calculate GCF of 1833,4209

Greatest Common Factor (GCF) of 1833,4209 By Common Division

3	1833, 4209
	611, 1403

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1833,4209 By Matching Biggest Common Factor Method

Now, list down the factors of 1833

1,3,13,39,47,141,611,1833

Now, list down the factors of 4209

1,3,23,61,69,183,1403,4209

Greatest Common Factor

We found the factors 1833,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 1833,4209 is 3.

Lets's calculate LCM of 276,5504

Lowest Common Multiple of 276,5504 using Common Division

2	276, 5504
2	138, 2752
	69, 1376

∴ So the LCM of the given numbers is 2 x 2 x 69 x 1376 = 379776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/379776

Therefore, the GCF of Fractions 1833/276,4209/5504 is 3/379776

Least Common Multiple of 276,5504 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 276,5504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,5504) = 4

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

GCF(276,5504) x common factors =4 x 1 = 4

LCM(276,5504) = ( 276 × 5504 ) / 4

LCM(276,5504) = 1519104 / 4

LCM(276,5504) = 379776

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FAQs on GCF of Fractions of 1833/276, 4209/5504

1. What is the HCF of 1833,4209?

The HCF of 1833,4209 is 3

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 1833/276, 4209/5504?

Answer: GCF of Numerators as per given numbers 1833/276, 4209/5504 is

GCF of Numerators i.e. for 1833,4209 is 3

LCM of denominators i.e. for 276,5504 is 379776.

Thus, GCF of Fractions is 3/379776.Finally, GCF of Fractions for 1833/276, 4209/5504 is 3/379776.