How to Find GCF of 164/242, 271/538, 382/208?

GCF of 164/242, 271/538, 382/208

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 164/242, 271/538, 382/208 i.e 1/6770192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/242, 271/538, 382/208.

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 164/242,271/538,382/208?

Given fractions are 164/242,271/538,382/208

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 164/242,271/538,382/208, numerators are 164,271,382

Denominators are 242,538,208

The GCF of 164,271,382 is 1 .

LCM of 242,538,208 is 6770192.

The greatest common factor of 164/242,271/538,382/208 = [GCF of 164,271,382]/[LCM of 242,538,208]= 1/6770192

Therefore, the GCF of 164/242,271/538,382/208 is 1/6770192.

Greatest Common Factor of 164,271,382

To find the highest common factor of 164,271,382, we have to find the factors of both numbers and list the highest common factor.

The factors of 164 are 1, 2, 4, 41, 82, 164

The factors of 271 are 1, 271

The factors of 382 are 1, 2, 191, 382

The HCF of 164,271,382 is 1.

Lets's calculate GCF of 164,271,382

Greatest Common Factor (GCF) of 164,271,382 By Common Division

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

Greatest Common Factor of 164,271,382 By Matching Biggest Common Factor Method

Now, list down the factors of 164

1,2,4,41,82,164

Now, list down the factors of 271

1,271

Now, list down the factors of 382

1,2,191,382

Greatest Common Factor

We found the factors 164,271,382 . The biggest common factor number is the GCF number.
So the greatest common factor 164,271,382 is 1.

Lets's calculate LCM of 242,538,208

Lowest Common Multiple of 242,538,208 using Common Division

2	242, 538, 208
	121, 269, 104

∴ So the LCM of the given numbers is 2 x 121 x 269 x 104 = 6770192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6770192

Therefore, the GCF of Fractions 164/242,271/538,382/208 is 1/6770192

Least Common Multiple of 242,538,208 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 242,538,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,538,208) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(242,538,208) x common factors =2 x 2 = 4

LCM(242,538,208) = ( 242 × 538 × 208 ) / 4

LCM(242,538,208) = 27080768 / 4

LCM(242,538,208) = 6770192

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FAQs on GCF of Fractions of 164/242, 271/538, 382/208

1. What is the HCF of 164,271,382?

The HCF of 164,271,382 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 164/242, 271/538, 382/208?

Answer: GCF of Numerators as per given numbers 164/242, 271/538, 382/208 is

GCF of Numerators i.e. for 164,271,382 is 1

LCM of denominators i.e. for 242,538,208 is 6770192.

Thus, GCF of Fractions is 1/6770192.Finally, GCF of Fractions for 164/242, 271/538, 382/208 is 1/6770192.