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GCF of 477/60, 394/512

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 477/60, 394/512 i.e 1/7680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/60, 394/512.

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 477/60,394/512?

Given fractions are 477/60,394/512

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 477/60,394/512, numerators are 477,394

Denominators are 60,512

The GCF of 477,394 is 1 .

LCM of 60,512 is 7680.

The greatest common factor of 477/60,394/512 = [GCF of 477,394]/[LCM of 60,512]= 1/7680

Therefore, the GCF of 477/60,394/512 is 1/7680.

Greatest Common Factor of 477,394

To find the highest common factor of 477,394, we have to find the factors of both numbers and list the highest common factor.

The factors of 477 are 1, 3, 9, 53, 159, 477

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

The HCF of 477,394 is 1.

Lets's calculate GCF of 477,394

Greatest Common Factor (GCF) of 477,394 By Common Division

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

Greatest Common Factor of 477,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,394 By Matching Biggest Common Factor Method

Now, list down the factors of 477

:

1,3,9,53,159,477

Now, list down the factors of 394

:

1,2,197,394

Greatest Common Factor

We found the factors 477,394 . The biggest common factor number is the GCF number.
So the greatest common factor 477,394 is 1.

Lets's calculate LCM of 60,512

Lowest Common Multiple of 60,512 using Common Division

2 60, 512
2 30, 256
15, 128

∴ So the LCM of the given numbers is 2 x 2 x 15 x 128 = 7680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7680

Therefore, the GCF of Fractions 477/60,394/512 is 1/7680

Least Common Multiple of 60,512 with GCF Formula

Least Common Multiple of 60,512 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 60,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,512) = 4

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

GCF(60,512) x common factors =4 x 1 = 4

LCM(60,512) = ( 60 × 512 ) / 4

LCM(60,512) = 30720 / 4

LCM(60,512) = 7680


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FAQs on GCF of Fractions of 477/60, 394/512

1. What is the HCF of 477,394?

The HCF of 477,394 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 477/60, 394/512?

Answer: GCF of Numerators as per given numbers 477/60, 394/512 is

GCF of Numerators i.e. for 477,394 is 1

LCM of denominators i.e. for 60,512 is 7680.

Thus, GCF of Fractions is 1/7680.Finally, GCF of Fractions for 477/60, 394/512 is 1/7680.