How to Find GCF of 900/404, 885/148?

GCF of 900/404, 885/148

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 900/404, 885/148 i.e 15/14948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/404, 885/148.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 900/404,885/148?

Given fractions are 900/404,885/148

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 900/404,885/148, numerators are 900,885

Denominators are 404,148

The GCF of 900,885 is 15 .

LCM of 404,148 is 14948.

The greatest common factor of 900/404,885/148 = [GCF of 900,885]/[LCM of 404,148]= 15/14948

Therefore, the GCF of 900/404,885/148 is 15/14948.

Greatest Common Factor of 900,885

To find the highest common factor of 900,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 900,885 is 15.

Lets's calculate GCF of 900,885

Greatest Common Factor (GCF) of 900,885 By Common Division

3	900, 885
5	300, 295
	60, 59

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 900,885 By Matching Biggest Common Factor Method

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Now, list down the factors of 885

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 900,885 . The biggest common factor number is the GCF number.
So the greatest common factor 900,885 is 15.

Lets's calculate LCM of 404,148

Lowest Common Multiple of 404,148 using Common Division

2	404, 148
2	202, 74
	101, 37

∴ So the LCM of the given numbers is 2 x 2 x 101 x 37 = 14948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/14948

Therefore, the GCF of Fractions 900/404,885/148 is 15/14948

Least Common Multiple of 404,148 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,148) = 4

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

GCF(404,148) x common factors =4 x 1 = 4

LCM(404,148) = ( 404 × 148 ) / 4

LCM(404,148) = 59792 / 4

LCM(404,148) = 14948

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 900/404, 885/148

1. What is the HCF of 900,885?

The HCF of 900,885 is 15

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 900/404, 885/148?

Answer: GCF of Numerators as per given numbers 900/404, 885/148 is

GCF of Numerators i.e. for 900,885 is 15

LCM of denominators i.e. for 404,148 is 14948.

Thus, GCF of Fractions is 15/14948.Finally, GCF of Fractions for 900/404, 885/148 is 15/14948.