How to Find GCF of 2233/276, 4321/928?

GCF of 2233/276, 4321/928

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 2233/276, 4321/928 i.e 29/64032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2233/276, 4321/928.

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 2233/276,4321/928?

Given fractions are 2233/276,4321/928

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 2233/276,4321/928, numerators are 2233,4321

Denominators are 276,928

The GCF of 2233,4321 is 29 .

LCM of 276,928 is 64032.

The greatest common factor of 2233/276,4321/928 = [GCF of 2233,4321]/[LCM of 276,928]= 29/64032

Therefore, the GCF of 2233/276,4321/928 is 29/64032.

Greatest Common Factor of 2233,4321

To find the highest common factor of 2233,4321, we have to find the factors of both numbers and list the highest common factor.

The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233

The factors of 4321 are 1, 29, 149, 4321

The HCF of 2233,4321 is 29.

Lets's calculate GCF of 2233,4321

Greatest Common Factor (GCF) of 2233,4321 By Common Division

29	2233, 4321
	77, 149

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 2233,4321 By Matching Biggest Common Factor Method

Now, list down the factors of 2233

1,7,11,29,77,203,319,2233

Now, list down the factors of 4321

1,29,149,4321

Greatest Common Factor

We found the factors 2233,4321 . The biggest common factor number is the GCF number.
So the greatest common factor 2233,4321 is 29.

Lets's calculate LCM of 276,928

Lowest Common Multiple of 276,928 using Common Division

2	276, 928
2	138, 464
	69, 232

∴ So the LCM of the given numbers is 2 x 2 x 69 x 232 = 64032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/64032

Therefore, the GCF of Fractions 2233/276,4321/928 is 29/64032

Least Common Multiple of 276,928 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 276,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,928) = 4

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

GCF(276,928) x common factors =4 x 1 = 4

LCM(276,928) = ( 276 × 928 ) / 4

LCM(276,928) = 256128 / 4

LCM(276,928) = 64032

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FAQs on GCF of Fractions of 2233/276, 4321/928

1. What is the HCF of 2233,4321?

The HCF of 2233,4321 is 29

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 2233/276, 4321/928?

Answer: GCF of Numerators as per given numbers 2233/276, 4321/928 is

GCF of Numerators i.e. for 2233,4321 is 29

LCM of denominators i.e. for 276,928 is 64032.

Thus, GCF of Fractions is 29/64032.Finally, GCF of Fractions for 2233/276, 4321/928 is 29/64032.