How to Find GCF of 4576/663, 5563/3400?

GCF of 4576/663, 5563/3400

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 4576/663, 5563/3400 i.e 1/132600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4576/663, 5563/3400.

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 4576/663,5563/3400?

Given fractions are 4576/663,5563/3400

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 4576/663,5563/3400, numerators are 4576,5563

Denominators are 663,3400

The GCF of 4576,5563 is 1 .

LCM of 663,3400 is 132600.

The greatest common factor of 4576/663,5563/3400 = [GCF of 4576,5563]/[LCM of 663,3400]= 1/132600

Therefore, the GCF of 4576/663,5563/3400 is 1/132600.

Greatest Common Factor of 4576,5563

To find the highest common factor of 4576,5563, we have to find the factors of both numbers and list the highest common factor.

The factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576

The factors of 5563 are 1, 5563

The HCF of 4576,5563 is 1.

Lets's calculate GCF of 4576,5563

Greatest Common Factor (GCF) of 4576,5563 By Common Division

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

Greatest Common Factor of 4576,5563 By Matching Biggest Common Factor Method

Now, list down the factors of 4576

1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576

Now, list down the factors of 5563

1,5563

Greatest Common Factor

We found the factors 4576,5563 . The biggest common factor number is the GCF number.
So the greatest common factor 4576,5563 is 1.

Lets's calculate LCM of 663,3400

Lowest Common Multiple of 663,3400 using Common Division

17	663, 3400
	39, 200

∴ So the LCM of the given numbers is 17 x 39 x 200 = 132600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132600

Therefore, the GCF of Fractions 4576/663,5563/3400 is 1/132600

Least Common Multiple of 663,3400 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 663,3400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,3400) = 17

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

GCF(663,3400) x common factors =17 x 1 = 17

LCM(663,3400) = ( 663 × 3400 ) / 17

LCM(663,3400) = 2254200 / 17

LCM(663,3400) = 132600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4576/663, 5563/3400

1. What is the HCF of 4576,5563?

The HCF of 4576,5563 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 4576/663, 5563/3400?

Answer: GCF of Numerators as per given numbers 4576/663, 5563/3400 is

GCF of Numerators i.e. for 4576,5563 is 1

LCM of denominators i.e. for 663,3400 is 132600.

Thus, GCF of Fractions is 1/132600.Finally, GCF of Fractions for 4576/663, 5563/3400 is 1/132600.