How to Find GCF of 34/271, 18/927, 322/548?

GCF of 34/271, 18/927, 322/548

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 34/271, 18/927, 322/548 i.e 2/137666916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/271, 18/927, 322/548.

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 34/271,18/927,322/548?

Given fractions are 34/271,18/927,322/548

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 34/271,18/927,322/548, numerators are 34,18,322

Denominators are 271,927,548

The GCF of 34,18,322 is 2 .

LCM of 271,927,548 is 137666916.

The greatest common factor of 34/271,18/927,322/548 = [GCF of 34,18,322]/[LCM of 271,927,548]= 2/137666916

Therefore, the GCF of 34/271,18/927,322/548 is 2/137666916.

Greatest Common Factor of 34,18,322

To find the highest common factor of 34,18,322, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The HCF of 34,18,322 is 2.

Lets's calculate GCF of 34,18,322

Greatest Common Factor (GCF) of 34,18,322 By Common Division

2	34, 18, 322
	17, 9, 161

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

Greatest Common Factor of 34,18,322 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 322

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 34,18,322 . The biggest common factor number is the GCF number.
So the greatest common factor 34,18,322 is 2.

Lets's calculate LCM of 271,927,548

Lowest Common Multiple of 271,927,548 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 137666916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137666916

Therefore, the GCF of Fractions 34/271,18/927,322/548 is 2/137666916

Least Common Multiple of 271,927,548 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 271,927,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,927,548) = 1

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

GCF(271,927,548) x common factors =1 x 1 = 1

LCM(271,927,548) = ( 271 × 927 × 548 ) / 1

LCM(271,927,548) = 137666916 / 1

LCM(271,927,548) = 137666916

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 34/271, 18/927, 322/548

1. What is the HCF of 34,18,322?

The HCF of 34,18,322 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 34/271, 18/927, 322/548?

Answer: GCF of Numerators as per given numbers 34/271, 18/927, 322/548 is

GCF of Numerators i.e. for 34,18,322 is 2

LCM of denominators i.e. for 271,927,548 is 137666916.

Thus, GCF of Fractions is 2/137666916.Finally, GCF of Fractions for 34/271, 18/927, 322/548 is 2/137666916.