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 819/314, 109/993

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 819/314, 109/993 i.e 1/311802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/314, 109/993.

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 819/314,109/993?

Given fractions are 819/314,109/993

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 819/314,109/993, numerators are 819,109

Denominators are 314,993

The GCF of 819,109 is 1 .

LCM of 314,993 is 311802.

The greatest common factor of 819/314,109/993 = [GCF of 819,109]/[LCM of 314,993]= 1/311802

Therefore, the GCF of 819/314,109/993 is 1/311802.

Greatest Common Factor of 819,109

To find the highest common factor of 819,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

The factors of 109 are 1, 109

The HCF of 819,109 is 1.

Lets's calculate GCF of 819,109

Greatest Common Factor (GCF) of 819,109 By Common Division

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

Greatest Common Factor of 819,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,109 By Matching Biggest Common Factor Method

Now, list down the factors of 819

:

1,3,7,9,13,21,39,63,91,117,273,819

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 819,109 . The biggest common factor number is the GCF number.
So the greatest common factor 819,109 is 1.

Lets's calculate LCM of 314,993

Lowest Common Multiple of 314,993 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 311802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311802

Therefore, the GCF of Fractions 819/314,109/993 is 1/311802

Least Common Multiple of 314,993 with GCF Formula

Least Common Multiple of 314,993 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 314,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,993) = 1

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

GCF(314,993) x common factors =1 x 1 = 1

LCM(314,993) = ( 314 × 993 ) / 1

LCM(314,993) = 311802 / 1

LCM(314,993) = 311802


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 819/314, 109/993

1. What is the HCF of 819,109?

The HCF of 819,109 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 819/314, 109/993?

Answer: GCF of Numerators as per given numbers 819/314, 109/993 is

GCF of Numerators i.e. for 819,109 is 1

LCM of denominators i.e. for 314,993 is 311802.

Thus, GCF of Fractions is 1/311802.Finally, GCF of Fractions for 819/314, 109/993 is 1/311802.