Greatest Common Factor of 60/99, 717/93, 259/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/99, 717/93, 259/446

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 60/99,717/93,259/446

Given fractions are 60/99,717/93,259/446

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 60,717,259

Greatest Common Factor of Numerators i.e. GCF of 60,717,259 is 1 .

LCM of Denominators means LCM of 99,93,446 as per the given fractions.

LCM of 99,93,446 is 1368774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,717,259

GCF of Fractions 60/99,717/93,259/446 is 1/1368774

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

Greatest Common Factor of 60,717,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,717,259 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 60,717,259 . The biggest common factor number is the GCF number.
So the greatest common factor 60,717,259 is 1.

Lets's calculate LCM of 99,93,446

3 99, 93, 446
33, 31, 446

∴ So the LCM of the given numbers is 3 x 33 x 31 x 446 = 1368774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368774

Therefore, the GCF of Fractions 60/99,717/93,259/446 is 1/1368774

Least Common Multiple of 99,93,446 with GCF Formula

Least Common Multiple of 99,93,446 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 99,93,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,93,446) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,93,446) x common factors =1 x 3 = 3

LCM(99,93,446) = ( 99 × 93 × 446 ) / 3

LCM(99,93,446) = 4106322 / 3

LCM(99,93,446) = 1368774


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 60/99, 717/93, 259/446

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 60/99, 717/93, 259/446?

Answer: GCF of Numerators as per given numbers 60/99, 717/93, 259/446 is

GCF of Numerators i.e. for 60,717,259 is 1

LCM of denominators i.e. for 99,93,446 is 1368774.

Thus, GCF of Fractions is 1/1368774.Finally, GCF of Fractions for 60/99, 717/93, 259/446 is 1/1368774.