How to Find GCF of 384/923, 3113/801?

GCF of 384/923, 3113/801

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 384/923, 3113/801 i.e 1/739323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/923, 3113/801.

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 384/923,3113/801?

Given fractions are 384/923,3113/801

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 384/923,3113/801, numerators are 384,3113

Denominators are 923,801

The GCF of 384,3113 is 1 .

LCM of 923,801 is 739323.

The greatest common factor of 384/923,3113/801 = [GCF of 384,3113]/[LCM of 923,801]= 1/739323

Therefore, the GCF of 384/923,3113/801 is 1/739323.

Greatest Common Factor of 384,3113

To find the highest common factor of 384,3113, we have to find the factors of both numbers and list the highest common factor.

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The factors of 3113 are 1, 11, 283, 3113

The HCF of 384,3113 is 1.

Lets's calculate GCF of 384,3113

Greatest Common Factor (GCF) of 384,3113 By Common Division

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

Greatest Common Factor of 384,3113 By Matching Biggest Common Factor Method

Now, list down the factors of 384

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Now, list down the factors of 3113

1,11,283,3113

Greatest Common Factor

We found the factors 384,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3113 is 1.

Lets's calculate LCM of 923,801

Lowest Common Multiple of 923,801 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 739323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/739323

Therefore, the GCF of Fractions 384/923,3113/801 is 1/739323

Least Common Multiple of 923,801 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 923,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,801) = 1

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

GCF(923,801) x common factors =1 x 1 = 1

LCM(923,801) = ( 923 × 801 ) / 1

LCM(923,801) = 739323 / 1

LCM(923,801) = 739323

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 384/923, 3113/801

1. What is the HCF of 384,3113?

The HCF of 384,3113 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 384/923, 3113/801?

Answer: GCF of Numerators as per given numbers 384/923, 3113/801 is

GCF of Numerators i.e. for 384,3113 is 1

LCM of denominators i.e. for 923,801 is 739323.

Thus, GCF of Fractions is 1/739323.Finally, GCF of Fractions for 384/923, 3113/801 is 1/739323.