How to Find GCF of 2513/404, 3173/1936?

GCF of 2513/404, 3173/1936

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 2513/404, 3173/1936 i.e 1/195536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2513/404, 3173/1936.

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 2513/404,3173/1936?

Given fractions are 2513/404,3173/1936

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 2513/404,3173/1936, numerators are 2513,3173

Denominators are 404,1936

The GCF of 2513,3173 is 1 .

LCM of 404,1936 is 195536.

The greatest common factor of 2513/404,3173/1936 = [GCF of 2513,3173]/[LCM of 404,1936]= 1/195536

Therefore, the GCF of 2513/404,3173/1936 is 1/195536.

Greatest Common Factor of 2513,3173

To find the highest common factor of 2513,3173, we have to find the factors of both numbers and list the highest common factor.

The factors of 2513 are 1, 7, 359, 2513

The factors of 3173 are 1, 19, 167, 3173

The HCF of 2513,3173 is 1.

Lets's calculate GCF of 2513,3173

Greatest Common Factor (GCF) of 2513,3173 By Common Division

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

Greatest Common Factor of 2513,3173 By Matching Biggest Common Factor Method

Now, list down the factors of 2513

1,7,359,2513

Now, list down the factors of 3173

1,19,167,3173

Greatest Common Factor

We found the factors 2513,3173 . The biggest common factor number is the GCF number.
So the greatest common factor 2513,3173 is 1.

Lets's calculate LCM of 404,1936

Lowest Common Multiple of 404,1936 using Common Division

2	404, 1936
2	202, 968
	101, 484

∴ So the LCM of the given numbers is 2 x 2 x 101 x 484 = 195536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195536

Therefore, the GCF of Fractions 2513/404,3173/1936 is 1/195536

Least Common Multiple of 404,1936 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 404,1936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,1936) = 4

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

GCF(404,1936) x common factors =4 x 1 = 4

LCM(404,1936) = ( 404 × 1936 ) / 4

LCM(404,1936) = 782144 / 4

LCM(404,1936) = 195536

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FAQs on GCF of Fractions of 2513/404, 3173/1936

1. What is the HCF of 2513,3173?

The HCF of 2513,3173 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 2513/404, 3173/1936?

Answer: GCF of Numerators as per given numbers 2513/404, 3173/1936 is

GCF of Numerators i.e. for 2513,3173 is 1

LCM of denominators i.e. for 404,1936 is 195536.

Thus, GCF of Fractions is 1/195536.Finally, GCF of Fractions for 2513/404, 3173/1936 is 1/195536.