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GCF of 500/46, 393/966

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 500/46, 393/966 i.e 1/966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/46, 393/966.

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 500/46,393/966?

Given fractions are 500/46,393/966

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 500/46,393/966, numerators are 500,393

Denominators are 46,966

The GCF of 500,393 is 1 .

LCM of 46,966 is 966.

The greatest common factor of 500/46,393/966 = [GCF of 500,393]/[LCM of 46,966]= 1/966

Therefore, the GCF of 500/46,393/966 is 1/966.

Greatest Common Factor of 500,393

To find the highest common factor of 500,393, we have to find the factors of both numbers and list the highest common factor.

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 393 are 1, 3, 131, 393

The HCF of 500,393 is 1.

Lets's calculate GCF of 500,393

Greatest Common Factor (GCF) of 500,393 By Common Division

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

Greatest Common Factor of 500,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,393 By Matching Biggest Common Factor Method

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Now, list down the factors of 393

:

1,3,131,393

Greatest Common Factor

We found the factors 500,393 . The biggest common factor number is the GCF number.
So the greatest common factor 500,393 is 1.

Lets's calculate LCM of 46,966

Lowest Common Multiple of 46,966 using Common Division

2 46, 966
23 23, 483
1, 21

∴ So the LCM of the given numbers is 2 x 23 x 1 x 21 = 966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966

Therefore, the GCF of Fractions 500/46,393/966 is 1/966

Least Common Multiple of 46,966 with GCF Formula

Least Common Multiple of 46,966 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 46,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,966) = 46

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

GCF(46,966) x common factors =46 x 1 = 46

LCM(46,966) = ( 46 × 966 ) / 46

LCM(46,966) = 44436 / 46

LCM(46,966) = 966


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FAQs on GCF of Fractions of 500/46, 393/966

1. What is the HCF of 500,393?

The HCF of 500,393 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 500/46, 393/966?

Answer: GCF of Numerators as per given numbers 500/46, 393/966 is

GCF of Numerators i.e. for 500,393 is 1

LCM of denominators i.e. for 46,966 is 966.

Thus, GCF of Fractions is 1/966.Finally, GCF of Fractions for 500/46, 393/966 is 1/966.