How to Find GCF of 3866/382, 5290/2217?

GCF of 3866/382, 5290/2217

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 3866/382, 5290/2217 i.e 2/846894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3866/382, 5290/2217.

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 3866/382,5290/2217?

Given fractions are 3866/382,5290/2217

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 3866/382,5290/2217, numerators are 3866,5290

Denominators are 382,2217

The GCF of 3866,5290 is 2 .

LCM of 382,2217 is 846894.

The greatest common factor of 3866/382,5290/2217 = [GCF of 3866,5290]/[LCM of 382,2217]= 2/846894

Therefore, the GCF of 3866/382,5290/2217 is 2/846894.

Greatest Common Factor of 3866,5290

To find the highest common factor of 3866,5290, we have to find the factors of both numbers and list the highest common factor.

The factors of 3866 are 1, 2, 1933, 3866

The factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

The HCF of 3866,5290 is 2.

Lets's calculate GCF of 3866,5290

Greatest Common Factor (GCF) of 3866,5290 By Common Division

2	3866, 5290
	1933, 2645

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3866,5290 By Matching Biggest Common Factor Method

Now, list down the factors of 3866

1,2,1933,3866

Now, list down the factors of 5290

1,2,5,10,23,46,115,230,529,1058,2645,5290

Greatest Common Factor

We found the factors 3866,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 3866,5290 is 2.

Lets's calculate LCM of 382,2217

Lowest Common Multiple of 382,2217 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 846894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/846894

Therefore, the GCF of Fractions 3866/382,5290/2217 is 2/846894

Least Common Multiple of 382,2217 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 382,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,2217) = 1

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

GCF(382,2217) x common factors =1 x 1 = 1

LCM(382,2217) = ( 382 × 2217 ) / 1

LCM(382,2217) = 846894 / 1

LCM(382,2217) = 846894

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3866/382, 5290/2217

1. What is the HCF of 3866,5290?

The HCF of 3866,5290 is 2

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 3866/382, 5290/2217?

Answer: GCF of Numerators as per given numbers 3866/382, 5290/2217 is

GCF of Numerators i.e. for 3866,5290 is 2

LCM of denominators i.e. for 382,2217 is 846894.

Thus, GCF of Fractions is 2/846894.Finally, GCF of Fractions for 3866/382, 5290/2217 is 2/846894.