Greatest Common Factor of 743/418, 269/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 743/418, 269/874

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 743/418,269/874

Given fractions are 743/418,269/874

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 743,269

Greatest Common Factor of Numerators i.e. GCF of 743,269 is 1 .

LCM of Denominators means LCM of 418,874 as per the given fractions.

LCM of 418,874 is 9614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 743,269

GCF of Fractions 743/418,269/874 is 1/9614

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

Greatest Common Factor of 743,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,269 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 743,269 . The biggest common factor number is the GCF number.
So the greatest common factor 743,269 is 1.

Lets's calculate LCM of 418,874

2 418, 874
19 209, 437
11, 23

∴ So the LCM of the given numbers is 2 x 19 x 11 x 23 = 9614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9614

Therefore, the GCF of Fractions 743/418,269/874 is 1/9614

Least Common Multiple of 418,874 with GCF Formula

Least Common Multiple of 418,874 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 418,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,874) = 38

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

GCF(418,874) x common factors =38 x 1 = 38

LCM(418,874) = ( 418 × 874 ) / 38

LCM(418,874) = 365332 / 38

LCM(418,874) = 9614


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 743/418, 269/874

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 743/418, 269/874?

Answer: GCF of Numerators as per given numbers 743/418, 269/874 is

GCF of Numerators i.e. for 743,269 is 1

LCM of denominators i.e. for 418,874 is 9614.

Thus, GCF of Fractions is 1/9614.Finally, GCF of Fractions for 743/418, 269/874 is 1/9614.