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GCF of 473/416, 809/768

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 473/416, 809/768 i.e 1/9984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 473/416, 809/768.

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 473/416,809/768?

Given fractions are 473/416,809/768

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 473/416,809/768, numerators are 473,809

Denominators are 416,768

The GCF of 473,809 is 1 .

LCM of 416,768 is 9984.

The greatest common factor of 473/416,809/768 = [GCF of 473,809]/[LCM of 416,768]= 1/9984

Therefore, the GCF of 473/416,809/768 is 1/9984.

Greatest Common Factor of 473,809

To find the highest common factor of 473,809, we have to find the factors of both numbers and list the highest common factor.

The factors of 473 are 1, 11, 43, 473

The factors of 809 are 1, 809

The HCF of 473,809 is 1.

Lets's calculate GCF of 473,809

Greatest Common Factor (GCF) of 473,809 By Common Division

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

Greatest Common Factor of 473,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,809 By Matching Biggest Common Factor Method

Now, list down the factors of 473

:

1,11,43,473

Now, list down the factors of 809

:

1,809

Greatest Common Factor

We found the factors 473,809 . The biggest common factor number is the GCF number.
So the greatest common factor 473,809 is 1.

Lets's calculate LCM of 416,768

Lowest Common Multiple of 416,768 using Common Division

2 416, 768
2 208, 384
2 104, 192
2 52, 96
2 26, 48
13, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 24 = 9984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9984

Therefore, the GCF of Fractions 473/416,809/768 is 1/9984

Least Common Multiple of 416,768 with GCF Formula

Least Common Multiple of 416,768 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 416,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,768) = 32

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

GCF(416,768) x common factors =32 x 1 = 32

LCM(416,768) = ( 416 × 768 ) / 32

LCM(416,768) = 319488 / 32

LCM(416,768) = 9984


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FAQs on GCF of Fractions of 473/416, 809/768

1. What is the HCF of 473,809?

The HCF of 473,809 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 473/416, 809/768?

Answer: GCF of Numerators as per given numbers 473/416, 809/768 is

GCF of Numerators i.e. for 473,809 is 1

LCM of denominators i.e. for 416,768 is 9984.

Thus, GCF of Fractions is 1/9984.Finally, GCF of Fractions for 473/416, 809/768 is 1/9984.