Greatest Common Factor of 469/595, 726/404, 727/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/595, 726/404, 727/659

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 469/595,726/404,727/659

Given fractions are 469/595,726/404,727/659

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 469,726,727

Greatest Common Factor of Numerators i.e. GCF of 469,726,727 is 1 .

LCM of Denominators means LCM of 595,404,659 as per the given fractions.

LCM of 595,404,659 is 158410420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,726,727

GCF of Fractions 469/595,726/404,727/659 is 1/158410420

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

Greatest Common Factor of 469,726,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,726,727 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 469,726,727 . The biggest common factor number is the GCF number.
So the greatest common factor 469,726,727 is 1.

Lets's calculate LCM of 595,404,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 158410420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158410420

Therefore, the GCF of Fractions 469/595,726/404,727/659 is 1/158410420

Least Common Multiple of 595,404,659 with GCF Formula

Least Common Multiple of 595,404,659 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 595,404,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,404,659) = 1

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

GCF(595,404,659) x common factors =1 x 1 = 1

LCM(595,404,659) = ( 595 × 404 × 659 ) / 1

LCM(595,404,659) = 158410420 / 1

LCM(595,404,659) = 158410420


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 469/595, 726/404, 727/659

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 469/595, 726/404, 727/659?

Answer: GCF of Numerators as per given numbers 469/595, 726/404, 727/659 is

GCF of Numerators i.e. for 469,726,727 is 1

LCM of denominators i.e. for 595,404,659 is 158410420.

Thus, GCF of Fractions is 1/158410420.Finally, GCF of Fractions for 469/595, 726/404, 727/659 is 1/158410420.