Greatest Common Factor of 8865/75, 3801/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8865/75, 3801/450

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 8865/75,3801/450

Given fractions are 8865/75,3801/450

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 8865,3801

Greatest Common Factor of Numerators i.e. GCF of 8865,3801 is 3 .

LCM of Denominators means LCM of 75,450 as per the given fractions.

LCM of 75,450 is 450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8865,3801

GCF of Fractions 8865/75,3801/450 is 3/450

3 8865, 3801
2955, 1267

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

Greatest Common Factor of 8865,3801 By Matching Biggest Common Factor Method

Greatest Common Factor of 8865,3801 By Matching Biggest Common Factor Method

Factors of 8865

List of positive integer factors of 8865 that divides 8865 without a remainder.

1,3,5,9,15,45,197,591,985,1773,2955,8865

Factors of 3801

List of positive integer factors of 3801 that divides 3801 without a remainder.

1,3,7,21,181,543,1267,3801

Greatest Common Factor

We found the factors 8865,3801 . The biggest common factor number is the GCF number.
So the greatest common factor 8865,3801 is 3.

Lets's calculate LCM of 75,450

3 75, 450
5 25, 150
5 5, 30
1, 6

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 6 = 450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/450

Therefore, the GCF of Fractions 8865/75,3801/450 is 3/450

Least Common Multiple of 75,450 with GCF Formula

Least Common Multiple of 75,450 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 75,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,450) = 75

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

GCF(75,450) x common factors =75 x 1 = 75

LCM(75,450) = ( 75 × 450 ) / 75

LCM(75,450) = 33750 / 75

LCM(75,450) = 450


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 8865/75, 3801/450

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 8865/75, 3801/450?

Answer: GCF of Numerators as per given numbers 8865/75, 3801/450 is

GCF of Numerators i.e. for 8865,3801 is 3

LCM of denominators i.e. for 75,450 is 450.

Thus, GCF of Fractions is 3/450.Finally, GCF of Fractions for 8865/75, 3801/450 is 3/450.