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 513/923, 783/885

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 513/923, 783/885 i.e 27/816855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/923, 783/885.

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 513/923,783/885?

Given fractions are 513/923,783/885

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 513/923,783/885, numerators are 513,783

Denominators are 923,885

The GCF of 513,783 is 27 .

LCM of 923,885 is 816855.

The greatest common factor of 513/923,783/885 = [GCF of 513,783]/[LCM of 923,885]= 27/816855

Therefore, the GCF of 513/923,783/885 is 27/816855.

Greatest Common Factor of 513,783

To find the highest common factor of 513,783, we have to find the factors of both numbers and list the highest common factor.

The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The HCF of 513,783 is 27.

Lets's calculate GCF of 513,783

Greatest Common Factor (GCF) of 513,783 By Common Division

3 513, 783
3 171, 261
3 57, 87
19, 29

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 513,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,783 By Matching Biggest Common Factor Method

Now, list down the factors of 513

:

1,3,9,19,27,57,171,513

Now, list down the factors of 783

:

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 513,783 . The biggest common factor number is the GCF number.
So the greatest common factor 513,783 is 27.


Lets's calculate LCM of 923,885

Lowest Common Multiple of 923,885 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 816855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/816855

Therefore, the GCF of Fractions 513/923,783/885 is 27/816855

Least Common Multiple of 923,885 with GCF Formula

Least Common Multiple of 923,885 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 923,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,885) = 1

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

GCF(923,885) x common factors =1 x 1 = 1

LCM(923,885) = ( 923 × 885 ) / 1

LCM(923,885) = 816855 / 1

LCM(923,885) = 816855


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 513/923, 783/885

1. What is the HCF of 513,783?

The HCF of 513,783 is 27

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 513/923, 783/885?

Answer: GCF of Numerators as per given numbers 513/923, 783/885 is

GCF of Numerators i.e. for 513,783 is 27

LCM of denominators i.e. for 923,885 is 816855.

Thus, GCF of Fractions is 27/816855.Finally, GCF of Fractions for 513/923, 783/885 is 27/816855.