How to Find GCF of 38/65, 931/17, 133/296?

GCF of 38/65, 931/17, 133/296

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 38/65, 931/17, 133/296 i.e 19/327080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/65, 931/17, 133/296.

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 38/65,931/17,133/296?

Given fractions are 38/65,931/17,133/296

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 38/65,931/17,133/296, numerators are 38,931,133

Denominators are 65,17,296

The GCF of 38,931,133 is 19 .

LCM of 65,17,296 is 327080.

The greatest common factor of 38/65,931/17,133/296 = [GCF of 38,931,133]/[LCM of 65,17,296]= 19/327080

Therefore, the GCF of 38/65,931/17,133/296 is 19/327080.

Greatest Common Factor of 38,931,133

To find the highest common factor of 38,931,133, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 931 are 1, 7, 19, 49, 133, 931

The factors of 133 are 1, 7, 19, 133

The HCF of 38,931,133 is 19.

Lets's calculate GCF of 38,931,133

Greatest Common Factor (GCF) of 38,931,133 By Common Division

19	38, 931, 133
	2, 49, 7

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 38,931,133 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 931

1,7,19,49,133,931

Now, list down the factors of 133

1,7,19,133

Greatest Common Factor

We found the factors 38,931,133 . The biggest common factor number is the GCF number.
So the greatest common factor 38,931,133 is 19.

Lets's calculate LCM of 65,17,296

Lowest Common Multiple of 65,17,296 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 327080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/327080

Therefore, the GCF of Fractions 38/65,931/17,133/296 is 19/327080

Least Common Multiple of 65,17,296 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 65,17,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,17,296) = 1

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

GCF(65,17,296) x common factors =1 x 1 = 1

LCM(65,17,296) = ( 65 × 17 × 296 ) / 1

LCM(65,17,296) = 327080 / 1

LCM(65,17,296) = 327080

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FAQs on GCF of Fractions of 38/65, 931/17, 133/296

1. What is the HCF of 38,931,133?

The HCF of 38,931,133 is 19

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 38/65, 931/17, 133/296?

Answer: GCF of Numerators as per given numbers 38/65, 931/17, 133/296 is

GCF of Numerators i.e. for 38,931,133 is 19

LCM of denominators i.e. for 65,17,296 is 327080.

Thus, GCF of Fractions is 19/327080.Finally, GCF of Fractions for 38/65, 931/17, 133/296 is 19/327080.