Greatest Common Factor of 4491/570, 1545/3618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4491/570, 1545/3618

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 4491/570,1545/3618

Given fractions are 4491/570,1545/3618

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 4491,1545

Greatest Common Factor of Numerators i.e. GCF of 4491,1545 is 3 .

LCM of Denominators means LCM of 570,3618 as per the given fractions.

LCM of 570,3618 is 343710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4491,1545

GCF of Fractions 4491/570,1545/3618 is 3/343710

3 4491, 1545
1497, 515

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4491,1545 By Matching Biggest Common Factor Method

Greatest Common Factor of 4491,1545 By Matching Biggest Common Factor Method

Factors of 4491

List of positive integer factors of 4491 that divides 4491 without a remainder.

1,3,9,499,1497,4491

Factors of 1545

List of positive integer factors of 1545 that divides 1545 without a remainder.

1,3,5,15,103,309,515,1545

Greatest Common Factor

We found the factors 4491,1545 . The biggest common factor number is the GCF number.
So the greatest common factor 4491,1545 is 3.

Lets's calculate LCM of 570,3618

2 570, 3618
3 285, 1809
95, 603

∴ So the LCM of the given numbers is 2 x 3 x 95 x 603 = 343710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/343710

Therefore, the GCF of Fractions 4491/570,1545/3618 is 3/343710

Least Common Multiple of 570,3618 with GCF Formula

Least Common Multiple of 570,3618 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 570,3618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,3618) = 6

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

GCF(570,3618) x common factors =6 x 1 = 6

LCM(570,3618) = ( 570 × 3618 ) / 6

LCM(570,3618) = 2062260 / 6

LCM(570,3618) = 343710


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 4491/570, 1545/3618

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 4491/570, 1545/3618?

Answer: GCF of Numerators as per given numbers 4491/570, 1545/3618 is

GCF of Numerators i.e. for 4491,1545 is 3

LCM of denominators i.e. for 570,3618 is 343710.

Thus, GCF of Fractions is 3/343710.Finally, GCF of Fractions for 4491/570, 1545/3618 is 3/343710.