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GCF of 433/52, 478/317

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 433/52, 478/317 i.e 1/16484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/52, 478/317.

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 433/52,478/317?

Given fractions are 433/52,478/317

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 433/52,478/317, numerators are 433,478

Denominators are 52,317

The GCF of 433,478 is 1 .

LCM of 52,317 is 16484.

The greatest common factor of 433/52,478/317 = [GCF of 433,478]/[LCM of 52,317]= 1/16484

Therefore, the GCF of 433/52,478/317 is 1/16484.

Greatest Common Factor of 433,478

To find the highest common factor of 433,478, we have to find the factors of both numbers and list the highest common factor.

The factors of 433 are 1, 433

The factors of 478 are 1, 2, 239, 478

The HCF of 433,478 is 1.

Lets's calculate GCF of 433,478

Greatest Common Factor (GCF) of 433,478 By Common Division

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

Greatest Common Factor of 433,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,478 By Matching Biggest Common Factor Method

Now, list down the factors of 433

:

1,433

Now, list down the factors of 478

:

1,2,239,478

Greatest Common Factor

We found the factors 433,478 . The biggest common factor number is the GCF number.
So the greatest common factor 433,478 is 1.

Lets's calculate LCM of 52,317

Lowest Common Multiple of 52,317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16484

Therefore, the GCF of Fractions 433/52,478/317 is 1/16484

Least Common Multiple of 52,317 with GCF Formula

Least Common Multiple of 52,317 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 52,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,317) = 1

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

GCF(52,317) x common factors =1 x 1 = 1

LCM(52,317) = ( 52 × 317 ) / 1

LCM(52,317) = 16484 / 1

LCM(52,317) = 16484


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FAQs on GCF of Fractions of 433/52, 478/317

1. What is the HCF of 433,478?

The HCF of 433,478 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 433/52, 478/317?

Answer: GCF of Numerators as per given numbers 433/52, 478/317 is

GCF of Numerators i.e. for 433,478 is 1

LCM of denominators i.e. for 52,317 is 16484.

Thus, GCF of Fractions is 1/16484.Finally, GCF of Fractions for 433/52, 478/317 is 1/16484.