Greatest Common Factor of 1803/452, 7605/4604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1803/452, 7605/4604

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 1803/452,7605/4604

Given fractions are 1803/452,7605/4604

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 1803,7605

Greatest Common Factor of Numerators i.e. GCF of 1803,7605 is 3 .

LCM of Denominators means LCM of 452,4604 as per the given fractions.

LCM of 452,4604 is 520252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1803,7605

GCF of Fractions 1803/452,7605/4604 is 3/520252

3 1803, 7605
601, 2535

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

Greatest Common Factor of 1803,7605 By Matching Biggest Common Factor Method

Greatest Common Factor of 1803,7605 By Matching Biggest Common Factor Method

Factors of 1803

List of positive integer factors of 1803 that divides 1803 without a remainder.

1,3,601,1803

Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605

Greatest Common Factor

We found the factors 1803,7605 . The biggest common factor number is the GCF number.
So the greatest common factor 1803,7605 is 3.

Lets's calculate LCM of 452,4604

2 452, 4604
2 226, 2302
113, 1151

∴ So the LCM of the given numbers is 2 x 2 x 113 x 1151 = 520252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/520252

Therefore, the GCF of Fractions 1803/452,7605/4604 is 3/520252

Least Common Multiple of 452,4604 with GCF Formula

Least Common Multiple of 452,4604 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 452,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,4604) = 4

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

GCF(452,4604) x common factors =4 x 1 = 4

LCM(452,4604) = ( 452 × 4604 ) / 4

LCM(452,4604) = 2081008 / 4

LCM(452,4604) = 520252


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 1803/452, 7605/4604

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 1803/452, 7605/4604?

Answer: GCF of Numerators as per given numbers 1803/452, 7605/4604 is

GCF of Numerators i.e. for 1803,7605 is 3

LCM of denominators i.e. for 452,4604 is 520252.

Thus, GCF of Fractions is 3/520252.Finally, GCF of Fractions for 1803/452, 7605/4604 is 3/520252.