How to Find GCF of 1439/804, 6526/9729?

GCF of 1439/804, 6526/9729

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 1439/804, 6526/9729 i.e 1/2607372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1439/804, 6526/9729.

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 1439/804,6526/9729?

Given fractions are 1439/804,6526/9729

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 1439/804,6526/9729, numerators are 1439,6526

Denominators are 804,9729

The GCF of 1439,6526 is 1 .

LCM of 804,9729 is 2607372.

The greatest common factor of 1439/804,6526/9729 = [GCF of 1439,6526]/[LCM of 804,9729]= 1/2607372

Therefore, the GCF of 1439/804,6526/9729 is 1/2607372.

Greatest Common Factor of 1439,6526

To find the highest common factor of 1439,6526, we have to find the factors of both numbers and list the highest common factor.

The factors of 1439 are 1, 1439

The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526

The HCF of 1439,6526 is 1.

Lets's calculate GCF of 1439,6526

Greatest Common Factor (GCF) of 1439,6526 By Common Division

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

Greatest Common Factor of 1439,6526 By Matching Biggest Common Factor Method

Now, list down the factors of 1439

1,1439

Now, list down the factors of 6526

1,2,13,26,251,502,3263,6526

Greatest Common Factor

We found the factors 1439,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 1439,6526 is 1.

Lets's calculate LCM of 804,9729

Lowest Common Multiple of 804,9729 using Common Division

3	804, 9729
	268, 3243

∴ So the LCM of the given numbers is 3 x 268 x 3243 = 2607372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2607372

Therefore, the GCF of Fractions 1439/804,6526/9729 is 1/2607372

Least Common Multiple of 804,9729 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 804,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,9729) = 3

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

GCF(804,9729) x common factors =3 x 1 = 3

LCM(804,9729) = ( 804 × 9729 ) / 3

LCM(804,9729) = 7822116 / 3

LCM(804,9729) = 2607372

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FAQs on GCF of Fractions of 1439/804, 6526/9729

1. What is the HCF of 1439,6526?

The HCF of 1439,6526 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 1439/804, 6526/9729?

Answer: GCF of Numerators as per given numbers 1439/804, 6526/9729 is

GCF of Numerators i.e. for 1439,6526 is 1

LCM of denominators i.e. for 804,9729 is 2607372.

Thus, GCF of Fractions is 1/2607372.Finally, GCF of Fractions for 1439/804, 6526/9729 is 1/2607372.