Greatest Common Factor of 1818/615, 6434/7536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1818/615, 6434/7536

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 1818/615,6434/7536

Given fractions are 1818/615,6434/7536

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 1818,6434

Greatest Common Factor of Numerators i.e. GCF of 1818,6434 is 2 .

LCM of Denominators means LCM of 615,7536 as per the given fractions.

LCM of 615,7536 is 1544880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1818,6434

GCF of Fractions 1818/615,6434/7536 is 2/1544880

2 1818, 6434
909, 3217

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

Greatest Common Factor of 1818,6434 By Matching Biggest Common Factor Method

Greatest Common Factor of 1818,6434 By Matching Biggest Common Factor Method

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1,2,3,6,9,18,101,202,303,606,909,1818

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

Greatest Common Factor

We found the factors 1818,6434 . The biggest common factor number is the GCF number.
So the greatest common factor 1818,6434 is 2.

Lets's calculate LCM of 615,7536

3 615, 7536
205, 2512

∴ So the LCM of the given numbers is 3 x 205 x 2512 = 1544880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1544880

Therefore, the GCF of Fractions 1818/615,6434/7536 is 2/1544880

Least Common Multiple of 615,7536 with GCF Formula

Least Common Multiple of 615,7536 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 615,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,7536) = 3

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

GCF(615,7536) x common factors =3 x 1 = 3

LCM(615,7536) = ( 615 × 7536 ) / 3

LCM(615,7536) = 4634640 / 3

LCM(615,7536) = 1544880


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 1818/615, 6434/7536

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 1818/615, 6434/7536?

Answer: GCF of Numerators as per given numbers 1818/615, 6434/7536 is

GCF of Numerators i.e. for 1818,6434 is 2

LCM of denominators i.e. for 615,7536 is 1544880.

Thus, GCF of Fractions is 2/1544880.Finally, GCF of Fractions for 1818/615, 6434/7536 is 2/1544880.