How to Find GCF of 8264/287, 5776/6032?

GCF of 8264/287, 5776/6032

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 8264/287, 5776/6032 i.e 8/1731184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8264/287, 5776/6032.

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 8264/287,5776/6032?

Given fractions are 8264/287,5776/6032

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 8264/287,5776/6032, numerators are 8264,5776

Denominators are 287,6032

The GCF of 8264,5776 is 8 .

LCM of 287,6032 is 1731184.

The greatest common factor of 8264/287,5776/6032 = [GCF of 8264,5776]/[LCM of 287,6032]= 8/1731184

Therefore, the GCF of 8264/287,5776/6032 is 8/1731184.

Greatest Common Factor of 8264,5776

To find the highest common factor of 8264,5776, we have to find the factors of both numbers and list the highest common factor.

The factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264

The factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776

The HCF of 8264,5776 is 8.

Lets's calculate GCF of 8264,5776

Greatest Common Factor (GCF) of 8264,5776 By Common Division

2	8264, 5776
2	4132, 2888
2	2066, 1444
	1033, 722

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

Greatest Common Factor of 8264,5776 By Matching Biggest Common Factor Method

Now, list down the factors of 8264

1,2,4,8,1033,2066,4132,8264

Now, list down the factors of 5776

1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776

Greatest Common Factor

We found the factors 8264,5776 . The biggest common factor number is the GCF number.
So the greatest common factor 8264,5776 is 8.

Lets's calculate LCM of 287,6032

Lowest Common Multiple of 287,6032 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1731184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1731184

Therefore, the GCF of Fractions 8264/287,5776/6032 is 8/1731184

Least Common Multiple of 287,6032 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 287,6032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,6032) = 1

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

GCF(287,6032) x common factors =1 x 1 = 1

LCM(287,6032) = ( 287 × 6032 ) / 1

LCM(287,6032) = 1731184 / 1

LCM(287,6032) = 1731184

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FAQs on GCF of Fractions of 8264/287, 5776/6032

1. What is the HCF of 8264,5776?

The HCF of 8264,5776 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 8264/287, 5776/6032?

Answer: GCF of Numerators as per given numbers 8264/287, 5776/6032 is

GCF of Numerators i.e. for 8264,5776 is 8

LCM of denominators i.e. for 287,6032 is 1731184.

Thus, GCF of Fractions is 8/1731184.Finally, GCF of Fractions for 8264/287, 5776/6032 is 8/1731184.