Greatest Common Factor of 1744/269, 6824/1228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1744/269, 6824/1228

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 1744/269,6824/1228

Given fractions are 1744/269,6824/1228

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 1744,6824

Greatest Common Factor of Numerators i.e. GCF of 1744,6824 is 8 .

LCM of Denominators means LCM of 269,1228 as per the given fractions.

LCM of 269,1228 is 330332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1744,6824

GCF of Fractions 1744/269,6824/1228 is 8/330332

2 1744, 6824
2 872, 3412
2 436, 1706
218, 853

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1744,6824 By Matching Biggest Common Factor Method

Greatest Common Factor of 1744,6824 By Matching Biggest Common Factor Method

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Factors of 6824

List of positive integer factors of 6824 that divides 6824 without a remainder.

1,2,4,8,853,1706,3412,6824

Greatest Common Factor

We found the factors 1744,6824 . The biggest common factor number is the GCF number.
So the greatest common factor 1744,6824 is 8.

Lets's calculate LCM of 269,1228

Given numbers has no common factors except 1. So, there LCM is their product i.e 330332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/330332

Therefore, the GCF of Fractions 1744/269,6824/1228 is 8/330332

Least Common Multiple of 269,1228 with GCF Formula

Least Common Multiple of 269,1228 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 269,1228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,1228) = 1

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

GCF(269,1228) x common factors =1 x 1 = 1

LCM(269,1228) = ( 269 × 1228 ) / 1

LCM(269,1228) = 330332 / 1

LCM(269,1228) = 330332


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 1744/269, 6824/1228

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 1744/269, 6824/1228?

Answer: GCF of Numerators as per given numbers 1744/269, 6824/1228 is

GCF of Numerators i.e. for 1744,6824 is 8

LCM of denominators i.e. for 269,1228 is 330332.

Thus, GCF of Fractions is 8/330332.Finally, GCF of Fractions for 1744/269, 6824/1228 is 8/330332.