How to Find GCF of 5587/488, 4784/3912?

GCF of 5587/488, 4784/3912

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 5587/488, 4784/3912 i.e 1/238632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5587/488, 4784/3912.

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 5587/488,4784/3912?

Given fractions are 5587/488,4784/3912

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 5587/488,4784/3912, numerators are 5587,4784

Denominators are 488,3912

The GCF of 5587,4784 is 1 .

LCM of 488,3912 is 238632.

The greatest common factor of 5587/488,4784/3912 = [GCF of 5587,4784]/[LCM of 488,3912]= 1/238632

Therefore, the GCF of 5587/488,4784/3912 is 1/238632.

Greatest Common Factor of 5587,4784

To find the highest common factor of 5587,4784, we have to find the factors of both numbers and list the highest common factor.

The factors of 5587 are 1, 37, 151, 5587

The factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784

The HCF of 5587,4784 is 1.

Lets's calculate GCF of 5587,4784

Greatest Common Factor (GCF) of 5587,4784 By Common Division

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

Greatest Common Factor of 5587,4784 By Matching Biggest Common Factor Method

Now, list down the factors of 5587

1,37,151,5587

Now, list down the factors of 4784

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Greatest Common Factor

We found the factors 5587,4784 . The biggest common factor number is the GCF number.
So the greatest common factor 5587,4784 is 1.

Lets's calculate LCM of 488,3912

Lowest Common Multiple of 488,3912 using Common Division

2	488, 3912
2	244, 1956
2	122, 978
	61, 489

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 489 = 238632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238632

Therefore, the GCF of Fractions 5587/488,4784/3912 is 1/238632

Least Common Multiple of 488,3912 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 488,3912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,3912) = 8

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

GCF(488,3912) x common factors =8 x 1 = 8

LCM(488,3912) = ( 488 × 3912 ) / 8

LCM(488,3912) = 1909056 / 8

LCM(488,3912) = 238632

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5587/488, 4784/3912

1. What is the HCF of 5587,4784?

The HCF of 5587,4784 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 5587/488, 4784/3912?

Answer: GCF of Numerators as per given numbers 5587/488, 4784/3912 is

GCF of Numerators i.e. for 5587,4784 is 1

LCM of denominators i.e. for 488,3912 is 238632.

Thus, GCF of Fractions is 1/238632.Finally, GCF of Fractions for 5587/488, 4784/3912 is 1/238632.