How to Find GCF of 229/990, 890/300?

GCF of 229/990, 890/300

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 229/990, 890/300 i.e 1/9900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/990, 890/300.

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 229/990,890/300?

Given fractions are 229/990,890/300

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 229/990,890/300, numerators are 229,890

Denominators are 990,300

The GCF of 229,890 is 1 .

LCM of 990,300 is 9900.

The greatest common factor of 229/990,890/300 = [GCF of 229,890]/[LCM of 990,300]= 1/9900

Therefore, the GCF of 229/990,890/300 is 1/9900.

Greatest Common Factor of 229,890

To find the highest common factor of 229,890, we have to find the factors of both numbers and list the highest common factor.

The factors of 229 are 1, 229

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890

The HCF of 229,890 is 1.

Lets's calculate GCF of 229,890

Greatest Common Factor (GCF) of 229,890 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 229,890 By Matching Biggest Common Factor Method

Now, list down the factors of 229

1,229

Now, list down the factors of 890

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 229,890 . The biggest common factor number is the GCF number.
So the greatest common factor 229,890 is 1.

Lets's calculate LCM of 990,300

Lowest Common Multiple of 990,300 using Common Division

2	990, 300
3	495, 150
5	165, 50
	33, 10

∴ So the LCM of the given numbers is 2 x 3 x 5 x 33 x 10 = 9900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9900

Therefore, the GCF of Fractions 229/990,890/300 is 1/9900

Least Common Multiple of 990,300 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 990,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,300) = 30

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

GCF(990,300) x common factors =30 x 1 = 30

LCM(990,300) = ( 990 × 300 ) / 30

LCM(990,300) = 297000 / 30

LCM(990,300) = 9900

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FAQs on GCF of Fractions of 229/990, 890/300

1. What is the HCF of 229,890?

The HCF of 229,890 is 1

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 229/990, 890/300?

Answer: GCF of Numerators as per given numbers 229/990, 890/300 is

GCF of Numerators i.e. for 229,890 is 1

LCM of denominators i.e. for 990,300 is 9900.

Thus, GCF of Fractions is 1/9900.Finally, GCF of Fractions for 229/990, 890/300 is 1/9900.