How to Find GCF of 181/66, 414/3806?

GCF of 181/66, 414/3806

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 181/66, 414/3806 i.e 1/11418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/66, 414/3806.

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 181/66,414/3806?

Given fractions are 181/66,414/3806

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 181/66,414/3806, numerators are 181,414

Denominators are 66,3806

The GCF of 181,414 is 1 .

LCM of 66,3806 is 11418.

The greatest common factor of 181/66,414/3806 = [GCF of 181,414]/[LCM of 66,3806]= 1/11418

Therefore, the GCF of 181/66,414/3806 is 1/11418.

Greatest Common Factor of 181,414

To find the highest common factor of 181,414, we have to find the factors of both numbers and list the highest common factor.

The factors of 181 are 1, 181

The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

The HCF of 181,414 is 1.

Lets's calculate GCF of 181,414

Greatest Common Factor (GCF) of 181,414 By Common Division

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

Greatest Common Factor of 181,414 By Matching Biggest Common Factor Method

Now, list down the factors of 181

1,181

Now, list down the factors of 414

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 181,414 . The biggest common factor number is the GCF number.
So the greatest common factor 181,414 is 1.

Lets's calculate LCM of 66,3806

Lowest Common Multiple of 66,3806 using Common Division

2	66, 3806
11	33, 1903
	3, 173

∴ So the LCM of the given numbers is 2 x 11 x 3 x 173 = 11418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11418

Therefore, the GCF of Fractions 181/66,414/3806 is 1/11418

Least Common Multiple of 66,3806 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 66,3806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,3806) = 22

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

GCF(66,3806) x common factors =22 x 1 = 22

LCM(66,3806) = ( 66 × 3806 ) / 22

LCM(66,3806) = 251196 / 22

LCM(66,3806) = 11418

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FAQs on GCF of Fractions of 181/66, 414/3806

1. What is the HCF of 181,414?

The HCF of 181,414 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 181/66, 414/3806?

Answer: GCF of Numerators as per given numbers 181/66, 414/3806 is

GCF of Numerators i.e. for 181,414 is 1

LCM of denominators i.e. for 66,3806 is 11418.

Thus, GCF of Fractions is 1/11418.Finally, GCF of Fractions for 181/66, 414/3806 is 1/11418.