Greatest Common Factor of 4503/755, 3857/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4503/755, 3857/440

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 4503/755,3857/440

Given fractions are 4503/755,3857/440

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 4503,3857

Greatest Common Factor of Numerators i.e. GCF of 4503,3857 is 19 .

LCM of Denominators means LCM of 755,440 as per the given fractions.

LCM of 755,440 is 66440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4503,3857

GCF of Fractions 4503/755,3857/440 is 19/66440

19 4503, 3857
237, 203

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4503,3857 By Matching Biggest Common Factor Method

Greatest Common Factor of 4503,3857 By Matching Biggest Common Factor Method

Factors of 4503

List of positive integer factors of 4503 that divides 4503 without a remainder.

1,3,19,57,79,237,1501,4503

Factors of 3857

List of positive integer factors of 3857 that divides 3857 without a remainder.

1,7,19,29,133,203,551,3857

Greatest Common Factor

We found the factors 4503,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 4503,3857 is 19.

Lets's calculate LCM of 755,440

5 755, 440
151, 88

∴ So the LCM of the given numbers is 5 x 151 x 88 = 66440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/66440

Therefore, the GCF of Fractions 4503/755,3857/440 is 19/66440

Least Common Multiple of 755,440 with GCF Formula

Least Common Multiple of 755,440 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 755,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,440) = 5

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

GCF(755,440) x common factors =5 x 1 = 5

LCM(755,440) = ( 755 × 440 ) / 5

LCM(755,440) = 332200 / 5

LCM(755,440) = 66440


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 4503/755, 3857/440

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 4503/755, 3857/440?

Answer: GCF of Numerators as per given numbers 4503/755, 3857/440 is

GCF of Numerators i.e. for 4503,3857 is 19

LCM of denominators i.e. for 755,440 is 66440.

Thus, GCF of Fractions is 19/66440.Finally, GCF of Fractions for 4503/755, 3857/440 is 19/66440.