How to Find GCF of 8192/228, 4440/2281?

GCF of 8192/228, 4440/2281

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 8192/228, 4440/2281 i.e 8/520068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8192/228, 4440/2281.

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 8192/228,4440/2281?

Given fractions are 8192/228,4440/2281

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 8192/228,4440/2281, numerators are 8192,4440

Denominators are 228,2281

The GCF of 8192,4440 is 8 .

LCM of 228,2281 is 520068.

The greatest common factor of 8192/228,4440/2281 = [GCF of 8192,4440]/[LCM of 228,2281]= 8/520068

Therefore, the GCF of 8192/228,4440/2281 is 8/520068.

Greatest Common Factor of 8192,4440

To find the highest common factor of 8192,4440, we have to find the factors of both numbers and list the highest common factor.

The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

The factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440

The HCF of 8192,4440 is 8.

Lets's calculate GCF of 8192,4440

Greatest Common Factor (GCF) of 8192,4440 By Common Division

2	8192, 4440
2	4096, 2220
2	2048, 1110
	1024, 555

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8192,4440 By Matching Biggest Common Factor Method

Now, list down the factors of 8192

1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192

Now, list down the factors of 4440

1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440

Greatest Common Factor

We found the factors 8192,4440 . The biggest common factor number is the GCF number.
So the greatest common factor 8192,4440 is 8.

Lets's calculate LCM of 228,2281

Lowest Common Multiple of 228,2281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 520068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/520068

Therefore, the GCF of Fractions 8192/228,4440/2281 is 8/520068

Least Common Multiple of 228,2281 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 228,2281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,2281) = 1

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

GCF(228,2281) x common factors =1 x 1 = 1

LCM(228,2281) = ( 228 × 2281 ) / 1

LCM(228,2281) = 520068 / 1

LCM(228,2281) = 520068

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FAQs on GCF of Fractions of 8192/228, 4440/2281

1. What is the HCF of 8192,4440?

The HCF of 8192,4440 is 8

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 8192/228, 4440/2281?

Answer: GCF of Numerators as per given numbers 8192/228, 4440/2281 is

GCF of Numerators i.e. for 8192,4440 is 8

LCM of denominators i.e. for 228,2281 is 520068.

Thus, GCF of Fractions is 8/520068.Finally, GCF of Fractions for 8192/228, 4440/2281 is 8/520068.