How to Find GCF of 64/443, 8915/5852?

GCF of 64/443, 8915/5852

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 64/443, 8915/5852 i.e 1/2592436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/443, 8915/5852.

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 64/443,8915/5852?

Given fractions are 64/443,8915/5852

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 64/443,8915/5852, numerators are 64,8915

Denominators are 443,5852

The GCF of 64,8915 is 1 .

LCM of 443,5852 is 2592436.

The greatest common factor of 64/443,8915/5852 = [GCF of 64,8915]/[LCM of 443,5852]= 1/2592436

Therefore, the GCF of 64/443,8915/5852 is 1/2592436.

Greatest Common Factor of 64,8915

To find the highest common factor of 64,8915, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 8915 are 1, 5, 1783, 8915

The HCF of 64,8915 is 1.

Lets's calculate GCF of 64,8915

Greatest Common Factor (GCF) of 64,8915 By Common Division

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

Greatest Common Factor of 64,8915 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 8915

1,5,1783,8915

Greatest Common Factor

We found the factors 64,8915 . The biggest common factor number is the GCF number.
So the greatest common factor 64,8915 is 1.

Lets's calculate LCM of 443,5852

Lowest Common Multiple of 443,5852 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2592436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2592436

Therefore, the GCF of Fractions 64/443,8915/5852 is 1/2592436

Least Common Multiple of 443,5852 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 443,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,5852) = 1

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

GCF(443,5852) x common factors =1 x 1 = 1

LCM(443,5852) = ( 443 × 5852 ) / 1

LCM(443,5852) = 2592436 / 1

LCM(443,5852) = 2592436

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FAQs on GCF of Fractions of 64/443, 8915/5852

1. What is the HCF of 64,8915?

The HCF of 64,8915 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 64/443, 8915/5852?

Answer: GCF of Numerators as per given numbers 64/443, 8915/5852 is

GCF of Numerators i.e. for 64,8915 is 1

LCM of denominators i.e. for 443,5852 is 2592436.

Thus, GCF of Fractions is 1/2592436.Finally, GCF of Fractions for 64/443, 8915/5852 is 1/2592436.