How to Find GCF of 1313/803, 3913/524?

GCF of 1313/803, 3913/524

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 1313/803, 3913/524 i.e 13/420772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1313/803, 3913/524.

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 1313/803,3913/524?

Given fractions are 1313/803,3913/524

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 1313/803,3913/524, numerators are 1313,3913

Denominators are 803,524

The GCF of 1313,3913 is 13 .

LCM of 803,524 is 420772.

The greatest common factor of 1313/803,3913/524 = [GCF of 1313,3913]/[LCM of 803,524]= 13/420772

Therefore, the GCF of 1313/803,3913/524 is 13/420772.

Greatest Common Factor of 1313,3913

To find the highest common factor of 1313,3913, we have to find the factors of both numbers and list the highest common factor.

The factors of 1313 are 1, 13, 101, 1313

The factors of 3913 are 1, 7, 13, 43, 91, 301, 559, 3913

The HCF of 1313,3913 is 13.

Lets's calculate GCF of 1313,3913

Greatest Common Factor (GCF) of 1313,3913 By Common Division

13	1313, 3913
	101, 301

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1313,3913 By Matching Biggest Common Factor Method

Now, list down the factors of 1313

1,13,101,1313

Now, list down the factors of 3913

1,7,13,43,91,301,559,3913

Greatest Common Factor

We found the factors 1313,3913 . The biggest common factor number is the GCF number.
So the greatest common factor 1313,3913 is 13.

Lets's calculate LCM of 803,524

Lowest Common Multiple of 803,524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 420772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/420772

Therefore, the GCF of Fractions 1313/803,3913/524 is 13/420772

Least Common Multiple of 803,524 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 803,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,524) = 1

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

GCF(803,524) x common factors =1 x 1 = 1

LCM(803,524) = ( 803 × 524 ) / 1

LCM(803,524) = 420772 / 1

LCM(803,524) = 420772

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FAQs on GCF of Fractions of 1313/803, 3913/524

1. What is the HCF of 1313,3913?

The HCF of 1313,3913 is 13

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 1313/803, 3913/524?

Answer: GCF of Numerators as per given numbers 1313/803, 3913/524 is

GCF of Numerators i.e. for 1313,3913 is 13

LCM of denominators i.e. for 803,524 is 420772.

Thus, GCF of Fractions is 13/420772.Finally, GCF of Fractions for 1313/803, 3913/524 is 13/420772.