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GCF of 394/512, 4243/504

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 394/512, 4243/504 i.e 1/32256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/512, 4243/504.

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 394/512,4243/504?

Given fractions are 394/512,4243/504

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 394/512,4243/504, numerators are 394,4243

Denominators are 512,504

The GCF of 394,4243 is 1 .

LCM of 512,504 is 32256.

The greatest common factor of 394/512,4243/504 = [GCF of 394,4243]/[LCM of 512,504]= 1/32256

Therefore, the GCF of 394/512,4243/504 is 1/32256.

Greatest Common Factor of 394,4243

To find the highest common factor of 394,4243, we have to find the factors of both numbers and list the highest common factor.

The factors of 394 are 1, 2, 197, 394

The factors of 4243 are 1, 4243

The HCF of 394,4243 is 1.

Lets's calculate GCF of 394,4243

Greatest Common Factor (GCF) of 394,4243 By Common Division

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

Greatest Common Factor of 394,4243 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,4243 By Matching Biggest Common Factor Method

Now, list down the factors of 394

:

1,2,197,394

Now, list down the factors of 4243

:

1,4243

Greatest Common Factor

We found the factors 394,4243 . The biggest common factor number is the GCF number.
So the greatest common factor 394,4243 is 1.

Lets's calculate LCM of 512,504

Lowest Common Multiple of 512,504 using Common Division

2 512, 504
2 256, 252
2 128, 126
64, 63

∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 63 = 32256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32256

Therefore, the GCF of Fractions 394/512,4243/504 is 1/32256

Least Common Multiple of 512,504 with GCF Formula

Least Common Multiple of 512,504 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 512,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,504) = 8

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

GCF(512,504) x common factors =8 x 1 = 8

LCM(512,504) = ( 512 × 504 ) / 8

LCM(512,504) = 258048 / 8

LCM(512,504) = 32256


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FAQs on GCF of Fractions of 394/512, 4243/504

1. What is the HCF of 394,4243?

The HCF of 394,4243 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 394/512, 4243/504?

Answer: GCF of Numerators as per given numbers 394/512, 4243/504 is

GCF of Numerators i.e. for 394,4243 is 1

LCM of denominators i.e. for 512,504 is 32256.

Thus, GCF of Fractions is 1/32256.Finally, GCF of Fractions for 394/512, 4243/504 is 1/32256.