Greatest Common Factor of 1734/511, 5983/9803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1734/511, 5983/9803

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 1734/511,5983/9803

Given fractions are 1734/511,5983/9803

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 1734,5983

Greatest Common Factor of Numerators i.e. GCF of 1734,5983 is 1 .

LCM of Denominators means LCM of 511,9803 as per the given fractions.

LCM of 511,9803 is 5009333 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1734,5983

GCF of Fractions 1734/511,5983/9803 is 1/5009333

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

Greatest Common Factor of 1734,5983 By Matching Biggest Common Factor Method

Greatest Common Factor of 1734,5983 By Matching Biggest Common Factor Method

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1,2,3,6,17,34,51,102,289,578,867,1734

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Greatest Common Factor

We found the factors 1734,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 1734,5983 is 1.

Lets's calculate LCM of 511,9803

Given numbers has no common factors except 1. So, there LCM is their product i.e 5009333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5009333

Therefore, the GCF of Fractions 1734/511,5983/9803 is 1/5009333

Least Common Multiple of 511,9803 with GCF Formula

Least Common Multiple of 511,9803 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 511,9803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,9803) = 1

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

GCF(511,9803) x common factors =1 x 1 = 1

LCM(511,9803) = ( 511 × 9803 ) / 1

LCM(511,9803) = 5009333 / 1

LCM(511,9803) = 5009333


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 1734/511, 5983/9803

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 1734/511, 5983/9803?

Answer: GCF of Numerators as per given numbers 1734/511, 5983/9803 is

GCF of Numerators i.e. for 1734,5983 is 1

LCM of denominators i.e. for 511,9803 is 5009333.

Thus, GCF of Fractions is 1/5009333.Finally, GCF of Fractions for 1734/511, 5983/9803 is 1/5009333.