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GCF of 547/66, 468/321

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 547/66, 468/321 i.e 1/7062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/66, 468/321.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 547/66,468/321?

Given fractions are 547/66,468/321

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 547/66,468/321, numerators are 547,468

Denominators are 66,321

The GCF of 547,468 is 1 .

LCM of 66,321 is 7062.

The greatest common factor of 547/66,468/321 = [GCF of 547,468]/[LCM of 66,321]= 1/7062

Therefore, the GCF of 547/66,468/321 is 1/7062.

Greatest Common Factor of 547,468

To find the highest common factor of 547,468, we have to find the factors of both numbers and list the highest common factor.

The factors of 547 are 1, 547

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The HCF of 547,468 is 1.

Lets's calculate GCF of 547,468

Greatest Common Factor (GCF) of 547,468 By Common Division

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

Greatest Common Factor of 547,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,468 By Matching Biggest Common Factor Method

Now, list down the factors of 547

:

1,547

Now, list down the factors of 468

:

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 547,468 . The biggest common factor number is the GCF number.
So the greatest common factor 547,468 is 1.

Lets's calculate LCM of 66,321

Lowest Common Multiple of 66,321 using Common Division

3 66, 321
22, 107

∴ So the LCM of the given numbers is 3 x 22 x 107 = 7062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7062

Therefore, the GCF of Fractions 547/66,468/321 is 1/7062

Least Common Multiple of 66,321 with GCF Formula

Least Common Multiple of 66,321 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,321) = 3

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

GCF(66,321) x common factors =3 x 1 = 3

LCM(66,321) = ( 66 × 321 ) / 3

LCM(66,321) = 21186 / 3

LCM(66,321) = 7062


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FAQs on GCF of Fractions of 547/66, 468/321

1. What is the HCF of 547,468?

The HCF of 547,468 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 547/66, 468/321?

Answer: GCF of Numerators as per given numbers 547/66, 468/321 is

GCF of Numerators i.e. for 547,468 is 1

LCM of denominators i.e. for 66,321 is 7062.

Thus, GCF of Fractions is 1/7062.Finally, GCF of Fractions for 547/66, 468/321 is 1/7062.