How to Find GCF of 394/573, 7473/662?

GCF of 394/573, 7473/662

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 394/573, 7473/662 i.e 1/379326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/573, 7473/662.

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 394/573,7473/662?

Given fractions are 394/573,7473/662

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 394/573,7473/662, numerators are 394,7473

Denominators are 573,662

The GCF of 394,7473 is 1 .

LCM of 573,662 is 379326.

The greatest common factor of 394/573,7473/662 = [GCF of 394,7473]/[LCM of 573,662]= 1/379326

Therefore, the GCF of 394/573,7473/662 is 1/379326.

Greatest Common Factor of 394,7473

To find the highest common factor of 394,7473, 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 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473

The HCF of 394,7473 is 1.

Lets's calculate GCF of 394,7473

Greatest Common Factor (GCF) of 394,7473 By Common Division

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

Greatest Common Factor of 394,7473 By Matching Biggest Common Factor Method

Now, list down the factors of 394

1,2,197,394

Now, list down the factors of 7473

1,3,47,53,141,159,2491,7473

Greatest Common Factor

We found the factors 394,7473 . The biggest common factor number is the GCF number.
So the greatest common factor 394,7473 is 1.

Lets's calculate LCM of 573,662

Lowest Common Multiple of 573,662 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 379326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379326

Therefore, the GCF of Fractions 394/573,7473/662 is 1/379326

Least Common Multiple of 573,662 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 573,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,662) = 1

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

GCF(573,662) x common factors =1 x 1 = 1

LCM(573,662) = ( 573 × 662 ) / 1

LCM(573,662) = 379326 / 1

LCM(573,662) = 379326

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FAQs on GCF of Fractions of 394/573, 7473/662

1. What is the HCF of 394,7473?

The HCF of 394,7473 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 394/573, 7473/662?

Answer: GCF of Numerators as per given numbers 394/573, 7473/662 is

GCF of Numerators i.e. for 394,7473 is 1

LCM of denominators i.e. for 573,662 is 379326.

Thus, GCF of Fractions is 1/379326.Finally, GCF of Fractions for 394/573, 7473/662 is 1/379326.