Greatest Common Factor of 99/95, 99/23, 605/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/95, 99/23, 605/56

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 99/95,99/23,605/56

Given fractions are 99/95,99/23,605/56

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 99,99,605

Greatest Common Factor of Numerators i.e. GCF of 99,99,605 is 11 .

LCM of Denominators means LCM of 95,23,56 as per the given fractions.

LCM of 95,23,56 is 122360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,99,605

GCF of Fractions 99/95,99/23,605/56 is 11/122360

11 99, 99, 605
9, 9, 55

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 99,99,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,99,605 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 99,99,605 . The biggest common factor number is the GCF number.
So the greatest common factor 99,99,605 is 11.

Lets's calculate LCM of 95,23,56

Given numbers has no common factors except 1. So, there LCM is their product i.e 122360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/122360

Therefore, the GCF of Fractions 99/95,99/23,605/56 is 11/122360

Least Common Multiple of 95,23,56 with GCF Formula

Least Common Multiple of 95,23,56 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 95,23,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,23,56) = 1

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

GCF(95,23,56) x common factors =1 x 1 = 1

LCM(95,23,56) = ( 95 × 23 × 56 ) / 1

LCM(95,23,56) = 122360 / 1

LCM(95,23,56) = 122360


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 99/95, 99/23, 605/56

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 99/95, 99/23, 605/56?

Answer: GCF of Numerators as per given numbers 99/95, 99/23, 605/56 is

GCF of Numerators i.e. for 99,99,605 is 11

LCM of denominators i.e. for 95,23,56 is 122360.

Thus, GCF of Fractions is 11/122360.Finally, GCF of Fractions for 99/95, 99/23, 605/56 is 11/122360.