How to Find GCF of 443/817, 2225/510?

GCF of 443/817, 2225/510

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 443/817, 2225/510 i.e 1/416670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/817, 2225/510.

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 443/817,2225/510?

Given fractions are 443/817,2225/510

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 443/817,2225/510, numerators are 443,2225

Denominators are 817,510

The GCF of 443,2225 is 1 .

LCM of 817,510 is 416670.

The greatest common factor of 443/817,2225/510 = [GCF of 443,2225]/[LCM of 817,510]= 1/416670

Therefore, the GCF of 443/817,2225/510 is 1/416670.

Greatest Common Factor of 443,2225

To find the highest common factor of 443,2225, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 2225 are 1, 5, 25, 89, 445, 2225

The HCF of 443,2225 is 1.

Lets's calculate GCF of 443,2225

Greatest Common Factor (GCF) of 443,2225 By Common Division

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

Greatest Common Factor of 443,2225 By Matching Biggest Common Factor Method

Now, list down the factors of 443

1,443

Now, list down the factors of 2225

1,5,25,89,445,2225

Greatest Common Factor

We found the factors 443,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 443,2225 is 1.

Lets's calculate LCM of 817,510

Lowest Common Multiple of 817,510 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 416670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416670

Therefore, the GCF of Fractions 443/817,2225/510 is 1/416670

Least Common Multiple of 817,510 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 817,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,510) = 1

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

GCF(817,510) x common factors =1 x 1 = 1

LCM(817,510) = ( 817 × 510 ) / 1

LCM(817,510) = 416670 / 1

LCM(817,510) = 416670

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FAQs on GCF of Fractions of 443/817, 2225/510

1. What is the HCF of 443,2225?

The HCF of 443,2225 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 443/817, 2225/510?

Answer: GCF of Numerators as per given numbers 443/817, 2225/510 is

GCF of Numerators i.e. for 443,2225 is 1

LCM of denominators i.e. for 817,510 is 416670.

Thus, GCF of Fractions is 1/416670.Finally, GCF of Fractions for 443/817, 2225/510 is 1/416670.