How to Find GCF of 13/83, 729/29, 518/266?

GCF of 13/83, 729/29, 518/266

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 13/83, 729/29, 518/266 i.e 1/640262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/83, 729/29, 518/266.

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 13/83,729/29,518/266?

Given fractions are 13/83,729/29,518/266

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 13/83,729/29,518/266, numerators are 13,729,518

Denominators are 83,29,266

The GCF of 13,729,518 is 1 .

LCM of 83,29,266 is 640262.

The greatest common factor of 13/83,729/29,518/266 = [GCF of 13,729,518]/[LCM of 83,29,266]= 1/640262

Therefore, the GCF of 13/83,729/29,518/266 is 1/640262.

Greatest Common Factor of 13,729,518

To find the highest common factor of 13,729,518, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 729 are 1, 3, 9, 27, 81, 243, 729

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 13,729,518 is 1.

Lets's calculate GCF of 13,729,518

Greatest Common Factor (GCF) of 13,729,518 By Common Division

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

Greatest Common Factor of 13,729,518 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 729

1,3,9,27,81,243,729

Now, list down the factors of 518

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 13,729,518 . The biggest common factor number is the GCF number.
So the greatest common factor 13,729,518 is 1.

Lets's calculate LCM of 83,29,266

Lowest Common Multiple of 83,29,266 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 640262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640262

Therefore, the GCF of Fractions 13/83,729/29,518/266 is 1/640262

Least Common Multiple of 83,29,266 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 83,29,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,29,266) = 1

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

GCF(83,29,266) x common factors =1 x 1 = 1

LCM(83,29,266) = ( 83 × 29 × 266 ) / 1

LCM(83,29,266) = 640262 / 1

LCM(83,29,266) = 640262

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FAQs on GCF of Fractions of 13/83, 729/29, 518/266

1. What is the HCF of 13,729,518?

The HCF of 13,729,518 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 13/83, 729/29, 518/266?

Answer: GCF of Numerators as per given numbers 13/83, 729/29, 518/266 is

GCF of Numerators i.e. for 13,729,518 is 1

LCM of denominators i.e. for 83,29,266 is 640262.

Thus, GCF of Fractions is 1/640262.Finally, GCF of Fractions for 13/83, 729/29, 518/266 is 1/640262.