How to Find GCF of 2230/221, 2803/195?

GCF of 2230/221, 2803/195

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 2230/221, 2803/195 i.e 1/3315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2230/221, 2803/195.

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 2230/221,2803/195?

Given fractions are 2230/221,2803/195

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 2230/221,2803/195, numerators are 2230,2803

Denominators are 221,195

The GCF of 2230,2803 is 1 .

LCM of 221,195 is 3315.

The greatest common factor of 2230/221,2803/195 = [GCF of 2230,2803]/[LCM of 221,195]= 1/3315

Therefore, the GCF of 2230/221,2803/195 is 1/3315.

Greatest Common Factor of 2230,2803

To find the highest common factor of 2230,2803, we have to find the factors of both numbers and list the highest common factor.

The factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230

The factors of 2803 are 1, 2803

The HCF of 2230,2803 is 1.

Lets's calculate GCF of 2230,2803

Greatest Common Factor (GCF) of 2230,2803 By Common Division

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

Greatest Common Factor of 2230,2803 By Matching Biggest Common Factor Method

Now, list down the factors of 2230

1,2,5,10,223,446,1115,2230

Now, list down the factors of 2803

1,2803

Greatest Common Factor

We found the factors 2230,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 2230,2803 is 1.

Lets's calculate LCM of 221,195

Lowest Common Multiple of 221,195 using Common Division

13	221, 195
	17, 15

∴ So the LCM of the given numbers is 13 x 17 x 15 = 3315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3315

Therefore, the GCF of Fractions 2230/221,2803/195 is 1/3315

Least Common Multiple of 221,195 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 221,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,195) = 13

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

GCF(221,195) x common factors =13 x 1 = 13

LCM(221,195) = ( 221 × 195 ) / 13

LCM(221,195) = 43095 / 13

LCM(221,195) = 3315

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FAQs on GCF of Fractions of 2230/221, 2803/195

1. What is the HCF of 2230,2803?

The HCF of 2230,2803 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 2230/221, 2803/195?

Answer: GCF of Numerators as per given numbers 2230/221, 2803/195 is

GCF of Numerators i.e. for 2230,2803 is 1

LCM of denominators i.e. for 221,195 is 3315.

Thus, GCF of Fractions is 1/3315.Finally, GCF of Fractions for 2230/221, 2803/195 is 1/3315.