Greatest Common Factor of 3533/687, 3794/3072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3533/687, 3794/3072

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 3533/687,3794/3072

Given fractions are 3533/687,3794/3072

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 3533,3794

Greatest Common Factor of Numerators i.e. GCF of 3533,3794 is 1 .

LCM of Denominators means LCM of 687,3072 as per the given fractions.

LCM of 687,3072 is 703488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3533,3794

GCF of Fractions 3533/687,3794/3072 is 1/703488

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

Greatest Common Factor of 3533,3794 By Matching Biggest Common Factor Method

Greatest Common Factor of 3533,3794 By Matching Biggest Common Factor Method

Factors of 3533

List of positive integer factors of 3533 that divides 3533 without a remainder.

1,3533

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1,2,7,14,271,542,1897,3794

Greatest Common Factor

We found the factors 3533,3794 . The biggest common factor number is the GCF number.
So the greatest common factor 3533,3794 is 1.

Lets's calculate LCM of 687,3072

3 687, 3072
229, 1024

∴ So the LCM of the given numbers is 3 x 229 x 1024 = 703488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703488

Therefore, the GCF of Fractions 3533/687,3794/3072 is 1/703488

Least Common Multiple of 687,3072 with GCF Formula

Least Common Multiple of 687,3072 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 687,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,3072) = 3

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

GCF(687,3072) x common factors =3 x 1 = 3

LCM(687,3072) = ( 687 × 3072 ) / 3

LCM(687,3072) = 2110464 / 3

LCM(687,3072) = 703488


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 3533/687, 3794/3072

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 3533/687, 3794/3072?

Answer: GCF of Numerators as per given numbers 3533/687, 3794/3072 is

GCF of Numerators i.e. for 3533,3794 is 1

LCM of denominators i.e. for 687,3072 is 703488.

Thus, GCF of Fractions is 1/703488.Finally, GCF of Fractions for 3533/687, 3794/3072 is 1/703488.