LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 923/464, 286/368

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 923/464, 286/368 i.e 13/10672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/464, 286/368.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 923/464,286/368?

Given fractions are 923/464,286/368

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 923/464,286/368, numerators are 923,286

Denominators are 464,368

The GCF of 923,286 is 13 .

LCM of 464,368 is 10672.

The greatest common factor of 923/464,286/368 = [GCF of 923,286]/[LCM of 464,368]= 13/10672

Therefore, the GCF of 923/464,286/368 is 13/10672.

Greatest Common Factor of 923,286

To find the highest common factor of 923,286, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 923,286 is 13.

Lets's calculate GCF of 923,286

Greatest Common Factor (GCF) of 923,286 By Common Division

13 923, 286
71, 22

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 923,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,286 By Matching Biggest Common Factor Method

Now, list down the factors of 923

:

1,13,71,923

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 923,286 . The biggest common factor number is the GCF number.
So the greatest common factor 923,286 is 13.

Lets's calculate LCM of 464,368

Lowest Common Multiple of 464,368 using Common Division

2 464, 368
2 232, 184
2 116, 92
2 58, 46
29, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 23 = 10672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/10672

Therefore, the GCF of Fractions 923/464,286/368 is 13/10672

Least Common Multiple of 464,368 with GCF Formula

Least Common Multiple of 464,368 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 464,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,368) = 16

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

GCF(464,368) x common factors =16 x 1 = 16

LCM(464,368) = ( 464 × 368 ) / 16

LCM(464,368) = 170752 / 16

LCM(464,368) = 10672


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 923/464, 286/368

1. What is the HCF of 923,286?

The HCF of 923,286 is 13

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 923/464, 286/368?

Answer: GCF of Numerators as per given numbers 923/464, 286/368 is

GCF of Numerators i.e. for 923,286 is 13

LCM of denominators i.e. for 464,368 is 10672.

Thus, GCF of Fractions is 13/10672.Finally, GCF of Fractions for 923/464, 286/368 is 13/10672.