How to Find GCF of 2221/200, 4403/1762?

GCF of 2221/200, 4403/1762

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 2221/200, 4403/1762 i.e 1/176200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2221/200, 4403/1762.

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 2221/200,4403/1762?

Given fractions are 2221/200,4403/1762

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 2221/200,4403/1762, numerators are 2221,4403

Denominators are 200,1762

The GCF of 2221,4403 is 1 .

LCM of 200,1762 is 176200.

The greatest common factor of 2221/200,4403/1762 = [GCF of 2221,4403]/[LCM of 200,1762]= 1/176200

Therefore, the GCF of 2221/200,4403/1762 is 1/176200.

Greatest Common Factor of 2221,4403

To find the highest common factor of 2221,4403, we have to find the factors of both numbers and list the highest common factor.

The factors of 2221 are 1, 2221

The factors of 4403 are 1, 7, 17, 37, 119, 259, 629, 4403

The HCF of 2221,4403 is 1.

Lets's calculate GCF of 2221,4403

Greatest Common Factor (GCF) of 2221,4403 By Common Division

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

Greatest Common Factor of 2221,4403 By Matching Biggest Common Factor Method

Now, list down the factors of 2221

1,2221

Now, list down the factors of 4403

1,7,17,37,119,259,629,4403

Greatest Common Factor

We found the factors 2221,4403 . The biggest common factor number is the GCF number.
So the greatest common factor 2221,4403 is 1.

Lets's calculate LCM of 200,1762

Lowest Common Multiple of 200,1762 using Common Division

2	200, 1762
	100, 881

∴ So the LCM of the given numbers is 2 x 100 x 881 = 176200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176200

Therefore, the GCF of Fractions 2221/200,4403/1762 is 1/176200

Least Common Multiple of 200,1762 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 200,1762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,1762) = 2

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

GCF(200,1762) x common factors =2 x 1 = 2

LCM(200,1762) = ( 200 × 1762 ) / 2

LCM(200,1762) = 352400 / 2

LCM(200,1762) = 176200

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FAQs on GCF of Fractions of 2221/200, 4403/1762

1. What is the HCF of 2221,4403?

The HCF of 2221,4403 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 2221/200, 4403/1762?

Answer: GCF of Numerators as per given numbers 2221/200, 4403/1762 is

GCF of Numerators i.e. for 2221,4403 is 1

LCM of denominators i.e. for 200,1762 is 176200.

Thus, GCF of Fractions is 1/176200.Finally, GCF of Fractions for 2221/200, 4403/1762 is 1/176200.