Greatest Common Factor of 440/99, 163/62, 217/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/99, 163/62, 217/588

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 440/99,163/62,217/588

Given fractions are 440/99,163/62,217/588

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 440,163,217

Greatest Common Factor of Numerators i.e. GCF of 440,163,217 is 1 .

LCM of Denominators means LCM of 99,62,588 as per the given fractions.

LCM of 99,62,588 is 601524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,163,217

GCF of Fractions 440/99,163/62,217/588 is 1/601524

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

Greatest Common Factor of 440,163,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,163,217 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 440,163,217 . The biggest common factor number is the GCF number.
So the greatest common factor 440,163,217 is 1.

Lets's calculate LCM of 99,62,588

2 99, 62, 588
3 99, 31, 294
33, 31, 98

∴ So the LCM of the given numbers is 2 x 3 x 33 x 31 x 98 = 601524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601524

Therefore, the GCF of Fractions 440/99,163/62,217/588 is 1/601524

Least Common Multiple of 99,62,588 with GCF Formula

Least Common Multiple of 99,62,588 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 99,62,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,62,588) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,62,588) x common factors =1 x 6 = 6

LCM(99,62,588) = ( 99 × 62 × 588 ) / 6

LCM(99,62,588) = 3609144 / 6

LCM(99,62,588) = 601524


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 440/99, 163/62, 217/588

1. 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.

2. What is the GCF of Fractions for 440/99, 163/62, 217/588?

Answer: GCF of Numerators as per given numbers 440/99, 163/62, 217/588 is

GCF of Numerators i.e. for 440,163,217 is 1

LCM of denominators i.e. for 99,62,588 is 601524.

Thus, GCF of Fractions is 1/601524.Finally, GCF of Fractions for 440/99, 163/62, 217/588 is 1/601524.