Greatest Common Factor of 183/95, 762/91, 717/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 183/95, 762/91, 717/99

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 183/95,762/91,717/99

Given fractions are 183/95,762/91,717/99

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 183,762,717

Greatest Common Factor of Numerators i.e. GCF of 183,762,717 is 3 .

LCM of Denominators means LCM of 95,91,99 as per the given fractions.

LCM of 95,91,99 is 855855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 183,762,717

GCF of Fractions 183/95,762/91,717/99 is 3/855855

3 183, 762, 717
61, 254, 239

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 183,762,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,762,717 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 717

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

1,3,239,717

Greatest Common Factor

We found the factors 183,762,717 . The biggest common factor number is the GCF number.
So the greatest common factor 183,762,717 is 3.

Lets's calculate LCM of 95,91,99

Given numbers has no common factors except 1. So, there LCM is their product i.e 855855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/855855

Therefore, the GCF of Fractions 183/95,762/91,717/99 is 3/855855

Least Common Multiple of 95,91,99 with GCF Formula

Least Common Multiple of 95,91,99 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 95,91,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,91,99) = 1

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

GCF(95,91,99) x common factors =1 x 1 = 1

LCM(95,91,99) = ( 95 × 91 × 99 ) / 1

LCM(95,91,99) = 855855 / 1

LCM(95,91,99) = 855855


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 183/95, 762/91, 717/99

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 183/95, 762/91, 717/99?

Answer: GCF of Numerators as per given numbers 183/95, 762/91, 717/99 is

GCF of Numerators i.e. for 183,762,717 is 3

LCM of denominators i.e. for 95,91,99 is 855855.

Thus, GCF of Fractions is 3/855855.Finally, GCF of Fractions for 183/95, 762/91, 717/99 is 3/855855.