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GCF of 413/66, 327/7387

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 413/66, 327/7387 i.e 1/487542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 413/66, 327/7387.

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 413/66,327/7387?

Given fractions are 413/66,327/7387

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 413/66,327/7387, numerators are 413,327

Denominators are 66,7387

The GCF of 413,327 is 1 .

LCM of 66,7387 is 487542.

The greatest common factor of 413/66,327/7387 = [GCF of 413,327]/[LCM of 66,7387]= 1/487542

Therefore, the GCF of 413/66,327/7387 is 1/487542.

Greatest Common Factor of 413,327

To find the highest common factor of 413,327, we have to find the factors of both numbers and list the highest common factor.

The factors of 413 are 1, 7, 59, 413

The factors of 327 are 1, 3, 109, 327

The HCF of 413,327 is 1.

Lets's calculate GCF of 413,327

Greatest Common Factor (GCF) of 413,327 By Common Division

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

Greatest Common Factor of 413,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,327 By Matching Biggest Common Factor Method

Now, list down the factors of 413

:

1,7,59,413

Now, list down the factors of 327

:

1,3,109,327

Greatest Common Factor

We found the factors 413,327 . The biggest common factor number is the GCF number.
So the greatest common factor 413,327 is 1.

Lets's calculate LCM of 66,7387

Lowest Common Multiple of 66,7387 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 487542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487542

Therefore, the GCF of Fractions 413/66,327/7387 is 1/487542

Least Common Multiple of 66,7387 with GCF Formula

Least Common Multiple of 66,7387 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 66,7387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,7387) = 1

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

GCF(66,7387) x common factors =1 x 1 = 1

LCM(66,7387) = ( 66 × 7387 ) / 1

LCM(66,7387) = 487542 / 1

LCM(66,7387) = 487542


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FAQs on GCF of Fractions of 413/66, 327/7387

1. What is the HCF of 413,327?

The HCF of 413,327 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 413/66, 327/7387?

Answer: GCF of Numerators as per given numbers 413/66, 327/7387 is

GCF of Numerators i.e. for 413,327 is 1

LCM of denominators i.e. for 66,7387 is 487542.

Thus, GCF of Fractions is 1/487542.Finally, GCF of Fractions for 413/66, 327/7387 is 1/487542.