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GCF of 900/44, 204/796

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 900/44, 204/796 i.e 12/8756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/44, 204/796.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 900/44,204/796?

Given fractions are 900/44,204/796

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 900/44,204/796, numerators are 900,204

Denominators are 44,796

The GCF of 900,204 is 12 .

LCM of 44,796 is 8756.

The greatest common factor of 900/44,204/796 = [GCF of 900,204]/[LCM of 44,796]= 12/8756

Therefore, the GCF of 900/44,204/796 is 12/8756.

Greatest Common Factor of 900,204

To find the highest common factor of 900,204, 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 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The HCF of 900,204 is 12.

Lets's calculate GCF of 900,204

Greatest Common Factor (GCF) of 900,204 By Common Division

2 900, 204
2 450, 102
3 225, 51
75, 17

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 900,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,204 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 204

:

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 900,204 . The biggest common factor number is the GCF number.
So the greatest common factor 900,204 is 12.


Lets's calculate LCM of 44,796

Lowest Common Multiple of 44,796 using Common Division

2 44, 796
2 22, 398
11, 199

∴ So the LCM of the given numbers is 2 x 2 x 11 x 199 = 8756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/8756

Therefore, the GCF of Fractions 900/44,204/796 is 12/8756

Least Common Multiple of 44,796 with GCF Formula

Least Common Multiple of 44,796 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 44,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,796) = 4

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

GCF(44,796) x common factors =4 x 1 = 4

LCM(44,796) = ( 44 × 796 ) / 4

LCM(44,796) = 35024 / 4

LCM(44,796) = 8756


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 900/44, 204/796

1. What is the HCF of 900,204?

The HCF of 900,204 is 12

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 900/44, 204/796?

Answer: GCF of Numerators as per given numbers 900/44, 204/796 is

GCF of Numerators i.e. for 900,204 is 12

LCM of denominators i.e. for 44,796 is 8756.

Thus, GCF of Fractions is 12/8756.Finally, GCF of Fractions for 900/44, 204/796 is 12/8756.