How to Find GCF of 443/565, 8245/3676?

GCF of 443/565, 8245/3676

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 443/565, 8245/3676 i.e 1/2076940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/565, 8245/3676.

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 443/565,8245/3676?

Given fractions are 443/565,8245/3676

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 443/565,8245/3676, numerators are 443,8245

Denominators are 565,3676

The GCF of 443,8245 is 1 .

LCM of 565,3676 is 2076940.

The greatest common factor of 443/565,8245/3676 = [GCF of 443,8245]/[LCM of 565,3676]= 1/2076940

Therefore, the GCF of 443/565,8245/3676 is 1/2076940.

Greatest Common Factor of 443,8245

To find the highest common factor of 443,8245, 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 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245

The HCF of 443,8245 is 1.

Lets's calculate GCF of 443,8245

Greatest Common Factor (GCF) of 443,8245 By Common Division

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

Greatest Common Factor of 443,8245 By Matching Biggest Common Factor Method

Now, list down the factors of 443

1,443

Now, list down the factors of 8245

1,5,17,85,97,485,1649,8245

Greatest Common Factor

We found the factors 443,8245 . The biggest common factor number is the GCF number.
So the greatest common factor 443,8245 is 1.

Lets's calculate LCM of 565,3676

Lowest Common Multiple of 565,3676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2076940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2076940

Therefore, the GCF of Fractions 443/565,8245/3676 is 1/2076940

Least Common Multiple of 565,3676 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 565,3676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,3676) = 1

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

GCF(565,3676) x common factors =1 x 1 = 1

LCM(565,3676) = ( 565 × 3676 ) / 1

LCM(565,3676) = 2076940 / 1

LCM(565,3676) = 2076940

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FAQs on GCF of Fractions of 443/565, 8245/3676

1. What is the HCF of 443,8245?

The HCF of 443,8245 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 443/565, 8245/3676?

Answer: GCF of Numerators as per given numbers 443/565, 8245/3676 is

GCF of Numerators i.e. for 443,8245 is 1

LCM of denominators i.e. for 565,3676 is 2076940.

Thus, GCF of Fractions is 1/2076940.Finally, GCF of Fractions for 443/565, 8245/3676 is 1/2076940.