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GCF of 8521/814, 1439/8084

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 8521/814, 1439/8084 i.e 1/3290188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8521/814, 1439/8084.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8521/814,1439/8084?

Given fractions are 8521/814,1439/8084

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 8521/814,1439/8084, numerators are 8521,1439

Denominators are 814,8084

The GCF of 8521,1439 is 1 .

LCM of 814,8084 is 3290188.

The greatest common factor of 8521/814,1439/8084 = [GCF of 8521,1439]/[LCM of 814,8084]= 1/3290188

Therefore, the GCF of 8521/814,1439/8084 is 1/3290188.

Greatest Common Factor of 8521,1439

To find the highest common factor of 8521,1439, we have to find the factors of both numbers and list the highest common factor.

The factors of 8521 are 1, 8521

The factors of 1439 are 1, 1439

The HCF of 8521,1439 is 1.

Lets's calculate GCF of 8521,1439

Greatest Common Factor (GCF) of 8521,1439 By Common Division

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

Greatest Common Factor of 8521,1439 By Matching Biggest Common Factor Method

Greatest Common Factor of 8521,1439 By Matching Biggest Common Factor Method

Now, list down the factors of 8521

:

1,8521

Now, list down the factors of 1439

:

1,1439

Greatest Common Factor

We found the factors 8521,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 8521,1439 is 1.

Lets's calculate LCM of 814,8084

Lowest Common Multiple of 814,8084 using Common Division

2 814, 8084
407, 4042

∴ So the LCM of the given numbers is 2 x 407 x 4042 = 3290188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3290188

Therefore, the GCF of Fractions 8521/814,1439/8084 is 1/3290188

Least Common Multiple of 814,8084 with GCF Formula

Least Common Multiple of 814,8084 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 814,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,8084) = 2

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

GCF(814,8084) x common factors =2 x 1 = 2

LCM(814,8084) = ( 814 × 8084 ) / 2

LCM(814,8084) = 6580376 / 2

LCM(814,8084) = 3290188


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FAQs on GCF of Fractions of 8521/814, 1439/8084

1. What is the HCF of 8521,1439?

The HCF of 8521,1439 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 8521/814, 1439/8084?

Answer: GCF of Numerators as per given numbers 8521/814, 1439/8084 is

GCF of Numerators i.e. for 8521,1439 is 1

LCM of denominators i.e. for 814,8084 is 3290188.

Thus, GCF of Fractions is 1/3290188.Finally, GCF of Fractions for 8521/814, 1439/8084 is 1/3290188.