Greatest Common Factor of 1143/689, 2509/1305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1143/689, 2509/1305

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 1143/689,2509/1305

Given fractions are 1143/689,2509/1305

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 1143,2509

Greatest Common Factor of Numerators i.e. GCF of 1143,2509 is 1 .

LCM of Denominators means LCM of 689,1305 as per the given fractions.

LCM of 689,1305 is 899145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1143,2509

GCF of Fractions 1143/689,2509/1305 is 1/899145

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

Greatest Common Factor of 1143,2509 By Matching Biggest Common Factor Method

Greatest Common Factor of 1143,2509 By Matching Biggest Common Factor Method

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1,13,193,2509

Greatest Common Factor

We found the factors 1143,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 1143,2509 is 1.

Lets's calculate LCM of 689,1305

Given numbers has no common factors except 1. So, there LCM is their product i.e 899145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899145

Therefore, the GCF of Fractions 1143/689,2509/1305 is 1/899145

Least Common Multiple of 689,1305 with GCF Formula

Least Common Multiple of 689,1305 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 689,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,1305) = 1

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

GCF(689,1305) x common factors =1 x 1 = 1

LCM(689,1305) = ( 689 × 1305 ) / 1

LCM(689,1305) = 899145 / 1

LCM(689,1305) = 899145


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 1143/689, 2509/1305

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 1143/689, 2509/1305?

Answer: GCF of Numerators as per given numbers 1143/689, 2509/1305 is

GCF of Numerators i.e. for 1143,2509 is 1

LCM of denominators i.e. for 689,1305 is 899145.

Thus, GCF of Fractions is 1/899145.Finally, GCF of Fractions for 1143/689, 2509/1305 is 1/899145.