How to Find GCF of 6584/330, 6368/551?

GCF of 6584/330, 6368/551

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 6584/330, 6368/551 i.e 8/181830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6584/330, 6368/551.

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 6584/330,6368/551?

Given fractions are 6584/330,6368/551

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 6584/330,6368/551, numerators are 6584,6368

Denominators are 330,551

The GCF of 6584,6368 is 8 .

LCM of 330,551 is 181830.

The greatest common factor of 6584/330,6368/551 = [GCF of 6584,6368]/[LCM of 330,551]= 8/181830

Therefore, the GCF of 6584/330,6368/551 is 8/181830.

Greatest Common Factor of 6584,6368

To find the highest common factor of 6584,6368, we have to find the factors of both numbers and list the highest common factor.

The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584

The factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368

The HCF of 6584,6368 is 8.

Lets's calculate GCF of 6584,6368

Greatest Common Factor (GCF) of 6584,6368 By Common Division

2	6584, 6368
2	3292, 3184
2	1646, 1592
	823, 796

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

Greatest Common Factor of 6584,6368 By Matching Biggest Common Factor Method

Now, list down the factors of 6584

1,2,4,8,823,1646,3292,6584

Now, list down the factors of 6368

1,2,4,8,16,32,199,398,796,1592,3184,6368

Greatest Common Factor

We found the factors 6584,6368 . The biggest common factor number is the GCF number.
So the greatest common factor 6584,6368 is 8.

Lets's calculate LCM of 330,551

Lowest Common Multiple of 330,551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 181830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/181830

Therefore, the GCF of Fractions 6584/330,6368/551 is 8/181830

Least Common Multiple of 330,551 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 330,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,551) = 1

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

GCF(330,551) x common factors =1 x 1 = 1

LCM(330,551) = ( 330 × 551 ) / 1

LCM(330,551) = 181830 / 1

LCM(330,551) = 181830

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FAQs on GCF of Fractions of 6584/330, 6368/551

1. What is the HCF of 6584,6368?

The HCF of 6584,6368 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 6584/330, 6368/551?

Answer: GCF of Numerators as per given numbers 6584/330, 6368/551 is

GCF of Numerators i.e. for 6584,6368 is 8

LCM of denominators i.e. for 330,551 is 181830.

Thus, GCF of Fractions is 8/181830.Finally, GCF of Fractions for 6584/330, 6368/551 is 8/181830.