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 319/10, 783/539

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 319/10, 783/539 i.e 29/5390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/10, 783/539.

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 319/10,783/539?

Given fractions are 319/10,783/539

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 319/10,783/539, numerators are 319,783

Denominators are 10,539

The GCF of 319,783 is 29 .

LCM of 10,539 is 5390.

The greatest common factor of 319/10,783/539 = [GCF of 319,783]/[LCM of 10,539]= 29/5390

Therefore, the GCF of 319/10,783/539 is 29/5390.

Greatest Common Factor of 319,783

To find the highest common factor of 319,783, we have to find the factors of both numbers and list the highest common factor.

The factors of 319 are 1, 11, 29, 319

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

The HCF of 319,783 is 29.

Lets's calculate GCF of 319,783

Greatest Common Factor (GCF) of 319,783 By Common Division

29 319, 783
11, 27

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 319,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,783 By Matching Biggest Common Factor Method

Now, list down the factors of 319

:

1,11,29,319

Now, list down the factors of 783

:

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

Greatest Common Factor

We found the factors 319,783 . The biggest common factor number is the GCF number.
So the greatest common factor 319,783 is 29.

Lets's calculate LCM of 10,539

Lowest Common Multiple of 10,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/5390

Therefore, the GCF of Fractions 319/10,783/539 is 29/5390

Least Common Multiple of 10,539 with GCF Formula

Least Common Multiple of 10,539 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 10,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,539) = 1

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

GCF(10,539) x common factors =1 x 1 = 1

LCM(10,539) = ( 10 × 539 ) / 1

LCM(10,539) = 5390 / 1

LCM(10,539) = 5390


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 319/10, 783/539

1. What is the HCF of 319,783?

The HCF of 319,783 is 29

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 319/10, 783/539?

Answer: GCF of Numerators as per given numbers 319/10, 783/539 is

GCF of Numerators i.e. for 319,783 is 29

LCM of denominators i.e. for 10,539 is 5390.

Thus, GCF of Fractions is 29/5390.Finally, GCF of Fractions for 319/10, 783/539 is 29/5390.