How to Find GCF of 8593/331, 3796/4020?

GCF of 8593/331, 3796/4020

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 8593/331, 3796/4020 i.e 13/1330620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8593/331, 3796/4020.

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 8593/331,3796/4020?

Given fractions are 8593/331,3796/4020

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 8593/331,3796/4020, numerators are 8593,3796

Denominators are 331,4020

The GCF of 8593,3796 is 13 .

LCM of 331,4020 is 1330620.

The greatest common factor of 8593/331,3796/4020 = [GCF of 8593,3796]/[LCM of 331,4020]= 13/1330620

Therefore, the GCF of 8593/331,3796/4020 is 13/1330620.

Greatest Common Factor of 8593,3796

To find the highest common factor of 8593,3796, we have to find the factors of both numbers and list the highest common factor.

The factors of 8593 are 1, 13, 661, 8593

The factors of 3796 are 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796

The HCF of 8593,3796 is 13.

Lets's calculate GCF of 8593,3796

Greatest Common Factor (GCF) of 8593,3796 By Common Division

13	8593, 3796
	661, 292

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

Greatest Common Factor of 8593,3796 By Matching Biggest Common Factor Method

Now, list down the factors of 8593

1,13,661,8593

Now, list down the factors of 3796

1,2,4,13,26,52,73,146,292,949,1898,3796

Greatest Common Factor

We found the factors 8593,3796 . The biggest common factor number is the GCF number.
So the greatest common factor 8593,3796 is 13.

Lets's calculate LCM of 331,4020

Lowest Common Multiple of 331,4020 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1330620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1330620

Therefore, the GCF of Fractions 8593/331,3796/4020 is 13/1330620

Least Common Multiple of 331,4020 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 331,4020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,4020) = 1

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

GCF(331,4020) x common factors =1 x 1 = 1

LCM(331,4020) = ( 331 × 4020 ) / 1

LCM(331,4020) = 1330620 / 1

LCM(331,4020) = 1330620

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8593/331, 3796/4020

1. What is the HCF of 8593,3796?

The HCF of 8593,3796 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 8593/331, 3796/4020?

Answer: GCF of Numerators as per given numbers 8593/331, 3796/4020 is

GCF of Numerators i.e. for 8593,3796 is 13

LCM of denominators i.e. for 331,4020 is 1330620.

Thus, GCF of Fractions is 13/1330620.Finally, GCF of Fractions for 8593/331, 3796/4020 is 13/1330620.