Greatest Common Factor of 5909/175, 1044/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5909/175, 1044/811

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 5909/175,1044/811

Given fractions are 5909/175,1044/811

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 5909,1044

Greatest Common Factor of Numerators i.e. GCF of 5909,1044 is 1 .

LCM of Denominators means LCM of 175,811 as per the given fractions.

LCM of 175,811 is 141925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5909,1044

GCF of Fractions 5909/175,1044/811 is 1/141925

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

Greatest Common Factor of 5909,1044 By Matching Biggest Common Factor Method

Greatest Common Factor of 5909,1044 By Matching Biggest Common Factor Method

Factors of 5909

List of positive integer factors of 5909 that divides 5909 without a remainder.

1,19,311,5909

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044

Greatest Common Factor

We found the factors 5909,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,1044 is 1.

Lets's calculate LCM of 175,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 141925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141925

Therefore, the GCF of Fractions 5909/175,1044/811 is 1/141925

Least Common Multiple of 175,811 with GCF Formula

Least Common Multiple of 175,811 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 175,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,811) = 1

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

GCF(175,811) x common factors =1 x 1 = 1

LCM(175,811) = ( 175 × 811 ) / 1

LCM(175,811) = 141925 / 1

LCM(175,811) = 141925


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 5909/175, 1044/811

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 5909/175, 1044/811?

Answer: GCF of Numerators as per given numbers 5909/175, 1044/811 is

GCF of Numerators i.e. for 5909,1044 is 1

LCM of denominators i.e. for 175,811 is 141925.

Thus, GCF of Fractions is 1/141925.Finally, GCF of Fractions for 5909/175, 1044/811 is 1/141925.