How to Find GCF of 8876/443, 8842/539?

GCF of 8876/443, 8842/539

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 8876/443, 8842/539 i.e 2/238777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8876/443, 8842/539.

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 8876/443,8842/539?

Given fractions are 8876/443,8842/539

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 8876/443,8842/539, numerators are 8876,8842

Denominators are 443,539

The GCF of 8876,8842 is 2 .

LCM of 443,539 is 238777.

The greatest common factor of 8876/443,8842/539 = [GCF of 8876,8842]/[LCM of 443,539]= 2/238777

Therefore, the GCF of 8876/443,8842/539 is 2/238777.

Greatest Common Factor of 8876,8842

To find the highest common factor of 8876,8842, we have to find the factors of both numbers and list the highest common factor.

The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876

The factors of 8842 are 1, 2, 4421, 8842

The HCF of 8876,8842 is 2.

Lets's calculate GCF of 8876,8842

Greatest Common Factor (GCF) of 8876,8842 By Common Division

2	8876, 8842
	4438, 4421

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8876,8842 By Matching Biggest Common Factor Method

Now, list down the factors of 8876

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Now, list down the factors of 8842

1,2,4421,8842

Greatest Common Factor

We found the factors 8876,8842 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,8842 is 2.

Lets's calculate LCM of 443,539

Lowest Common Multiple of 443,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 238777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238777

Therefore, the GCF of Fractions 8876/443,8842/539 is 2/238777

Least Common Multiple of 443,539 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 443,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,539) = 1

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

GCF(443,539) x common factors =1 x 1 = 1

LCM(443,539) = ( 443 × 539 ) / 1

LCM(443,539) = 238777 / 1

LCM(443,539) = 238777

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FAQs on GCF of Fractions of 8876/443, 8842/539

1. What is the HCF of 8876,8842?

The HCF of 8876,8842 is 2

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 8876/443, 8842/539?

Answer: GCF of Numerators as per given numbers 8876/443, 8842/539 is

GCF of Numerators i.e. for 8876,8842 is 2

LCM of denominators i.e. for 443,539 is 238777.

Thus, GCF of Fractions is 2/238777.Finally, GCF of Fractions for 8876/443, 8842/539 is 2/238777.