Greatest Common Factor of 2243/867, 2509/1669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2243/867, 2509/1669

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 2243/867,2509/1669

Given fractions are 2243/867,2509/1669

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 2243,2509

Greatest Common Factor of Numerators i.e. GCF of 2243,2509 is 1 .

LCM of Denominators means LCM of 867,1669 as per the given fractions.

LCM of 867,1669 is 1447023 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2243,2509

GCF of Fractions 2243/867,2509/1669 is 1/1447023

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

Greatest Common Factor of 2243,2509 By Matching Biggest Common Factor Method

Greatest Common Factor of 2243,2509 By Matching Biggest Common Factor Method

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1,2243

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 2243,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 2243,2509 is 1.

Lets's calculate LCM of 867,1669

Given numbers has no common factors except 1. So, there LCM is their product i.e 1447023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1447023

Therefore, the GCF of Fractions 2243/867,2509/1669 is 1/1447023

Least Common Multiple of 867,1669 with GCF Formula

Least Common Multiple of 867,1669 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 867,1669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,1669) = 1

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

GCF(867,1669) x common factors =1 x 1 = 1

LCM(867,1669) = ( 867 × 1669 ) / 1

LCM(867,1669) = 1447023 / 1

LCM(867,1669) = 1447023


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 2243/867, 2509/1669

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 2243/867, 2509/1669?

Answer: GCF of Numerators as per given numbers 2243/867, 2509/1669 is

GCF of Numerators i.e. for 2243,2509 is 1

LCM of denominators i.e. for 867,1669 is 1447023.

Thus, GCF of Fractions is 1/1447023.Finally, GCF of Fractions for 2243/867, 2509/1669 is 1/1447023.