How to Find GCF of 3186/808, 3308/5383?

GCF of 3186/808, 3308/5383

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 3186/808, 3308/5383 i.e 2/4349464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3186/808, 3308/5383.

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 3186/808,3308/5383?

Given fractions are 3186/808,3308/5383

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 3186/808,3308/5383, numerators are 3186,3308

Denominators are 808,5383

The GCF of 3186,3308 is 2 .

LCM of 808,5383 is 4349464.

The greatest common factor of 3186/808,3308/5383 = [GCF of 3186,3308]/[LCM of 808,5383]= 2/4349464

Therefore, the GCF of 3186/808,3308/5383 is 2/4349464.

Greatest Common Factor of 3186,3308

To find the highest common factor of 3186,3308, we have to find the factors of both numbers and list the highest common factor.

The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186

The factors of 3308 are 1, 2, 4, 827, 1654, 3308

The HCF of 3186,3308 is 2.

Lets's calculate GCF of 3186,3308

Greatest Common Factor (GCF) of 3186,3308 By Common Division

2	3186, 3308
	1593, 1654

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

Greatest Common Factor of 3186,3308 By Matching Biggest Common Factor Method

Now, list down the factors of 3186

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Now, list down the factors of 3308

1,2,4,827,1654,3308

Greatest Common Factor

We found the factors 3186,3308 . The biggest common factor number is the GCF number.
So the greatest common factor 3186,3308 is 2.

Lets's calculate LCM of 808,5383

Lowest Common Multiple of 808,5383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4349464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4349464

Therefore, the GCF of Fractions 3186/808,3308/5383 is 2/4349464

Least Common Multiple of 808,5383 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 808,5383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,5383) = 1

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

GCF(808,5383) x common factors =1 x 1 = 1

LCM(808,5383) = ( 808 × 5383 ) / 1

LCM(808,5383) = 4349464 / 1

LCM(808,5383) = 4349464

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FAQs on GCF of Fractions of 3186/808, 3308/5383

1. What is the HCF of 3186,3308?

The HCF of 3186,3308 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 3186/808, 3308/5383?

Answer: GCF of Numerators as per given numbers 3186/808, 3308/5383 is

GCF of Numerators i.e. for 3186,3308 is 2

LCM of denominators i.e. for 808,5383 is 4349464.

Thus, GCF of Fractions is 2/4349464.Finally, GCF of Fractions for 3186/808, 3308/5383 is 2/4349464.