How to Find GCF of 71/67, 27/187, 304/342?

GCF of 71/67, 27/187, 304/342

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 71/67, 27/187, 304/342 i.e 1/4284918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/67, 27/187, 304/342.

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 71/67,27/187,304/342?

Given fractions are 71/67,27/187,304/342

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 71/67,27/187,304/342, numerators are 71,27,304

Denominators are 67,187,342

The GCF of 71,27,304 is 1 .

LCM of 67,187,342 is 4284918.

The greatest common factor of 71/67,27/187,304/342 = [GCF of 71,27,304]/[LCM of 67,187,342]= 1/4284918

Therefore, the GCF of 71/67,27/187,304/342 is 1/4284918.

Greatest Common Factor of 71,27,304

To find the highest common factor of 71,27,304, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 27 are 1, 3, 9, 27

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

The HCF of 71,27,304 is 1.

Lets's calculate GCF of 71,27,304

Greatest Common Factor (GCF) of 71,27,304 By Common Division

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

Greatest Common Factor of 71,27,304 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 304

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 71,27,304 . The biggest common factor number is the GCF number.
So the greatest common factor 71,27,304 is 1.

Lets's calculate LCM of 67,187,342

Lowest Common Multiple of 67,187,342 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4284918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4284918

Therefore, the GCF of Fractions 71/67,27/187,304/342 is 1/4284918

Least Common Multiple of 67,187,342 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 67,187,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,187,342) = 1

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

GCF(67,187,342) x common factors =1 x 1 = 1

LCM(67,187,342) = ( 67 × 187 × 342 ) / 1

LCM(67,187,342) = 4284918 / 1

LCM(67,187,342) = 4284918

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 71/67, 27/187, 304/342

1. What is the HCF of 71,27,304?

The HCF of 71,27,304 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 71/67, 27/187, 304/342?

Answer: GCF of Numerators as per given numbers 71/67, 27/187, 304/342 is

GCF of Numerators i.e. for 71,27,304 is 1

LCM of denominators i.e. for 67,187,342 is 4284918.

Thus, GCF of Fractions is 1/4284918.Finally, GCF of Fractions for 71/67, 27/187, 304/342 is 1/4284918.