How to Find GCF of 6555/472, 4132/9264?

GCF of 6555/472, 4132/9264

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 6555/472, 4132/9264 i.e 1/546576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6555/472, 4132/9264.

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 6555/472,4132/9264?

Given fractions are 6555/472,4132/9264

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 6555/472,4132/9264, numerators are 6555,4132

Denominators are 472,9264

The GCF of 6555,4132 is 1 .

LCM of 472,9264 is 546576.

The greatest common factor of 6555/472,4132/9264 = [GCF of 6555,4132]/[LCM of 472,9264]= 1/546576

Therefore, the GCF of 6555/472,4132/9264 is 1/546576.

Greatest Common Factor of 6555,4132

To find the highest common factor of 6555,4132, we have to find the factors of both numbers and list the highest common factor.

The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555

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

The HCF of 6555,4132 is 1.

Lets's calculate GCF of 6555,4132

Greatest Common Factor (GCF) of 6555,4132 By Common Division

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

Greatest Common Factor of 6555,4132 By Matching Biggest Common Factor Method

Now, list down the factors of 6555

1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555

Now, list down the factors of 4132

1,2,4,1033,2066,4132

Greatest Common Factor

We found the factors 6555,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,4132 is 1.

Lets's calculate LCM of 472,9264

Lowest Common Multiple of 472,9264 using Common Division

2	472, 9264
2	236, 4632
2	118, 2316
	59, 1158

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 1158 = 546576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546576

Therefore, the GCF of Fractions 6555/472,4132/9264 is 1/546576

Least Common Multiple of 472,9264 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 472,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,9264) = 8

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

GCF(472,9264) x common factors =8 x 1 = 8

LCM(472,9264) = ( 472 × 9264 ) / 8

LCM(472,9264) = 4372608 / 8

LCM(472,9264) = 546576

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6555/472, 4132/9264

1. What is the HCF of 6555,4132?

The HCF of 6555,4132 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 6555/472, 4132/9264?

Answer: GCF of Numerators as per given numbers 6555/472, 4132/9264 is

GCF of Numerators i.e. for 6555,4132 is 1

LCM of denominators i.e. for 472,9264 is 546576.

Thus, GCF of Fractions is 1/546576.Finally, GCF of Fractions for 6555/472, 4132/9264 is 1/546576.