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 2683/819, 2086/5491

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 2683/819, 2086/5491 i.e 1/4497129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2683/819, 2086/5491.

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 2683/819,2086/5491?

Given fractions are 2683/819,2086/5491

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 2683/819,2086/5491, numerators are 2683,2086

Denominators are 819,5491

The GCF of 2683,2086 is 1 .

LCM of 819,5491 is 4497129.

The greatest common factor of 2683/819,2086/5491 = [GCF of 2683,2086]/[LCM of 819,5491]= 1/4497129

Therefore, the GCF of 2683/819,2086/5491 is 1/4497129.

Greatest Common Factor of 2683,2086

To find the highest common factor of 2683,2086, we have to find the factors of both numbers and list the highest common factor.

The factors of 2683 are 1, 2683

The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086

The HCF of 2683,2086 is 1.

Lets's calculate GCF of 2683,2086

Greatest Common Factor (GCF) of 2683,2086 By Common Division

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

Greatest Common Factor of 2683,2086 By Matching Biggest Common Factor Method

Greatest Common Factor of 2683,2086 By Matching Biggest Common Factor Method

Now, list down the factors of 2683

:

1,2683

Now, list down the factors of 2086

:

1,2,7,14,149,298,1043,2086

Greatest Common Factor

We found the factors 2683,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 2683,2086 is 1.


Lets's calculate LCM of 819,5491

Lowest Common Multiple of 819,5491 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4497129

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4497129

Therefore, the GCF of Fractions 2683/819,2086/5491 is 1/4497129

Least Common Multiple of 819,5491 with GCF Formula

Least Common Multiple of 819,5491 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 819,5491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,5491) = 1

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

GCF(819,5491) x common factors =1 x 1 = 1

LCM(819,5491) = ( 819 × 5491 ) / 1

LCM(819,5491) = 4497129 / 1

LCM(819,5491) = 4497129


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2683/819, 2086/5491

1. What is the HCF of 2683,2086?

The HCF of 2683,2086 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 2683/819, 2086/5491?

Answer: GCF of Numerators as per given numbers 2683/819, 2086/5491 is

GCF of Numerators i.e. for 2683,2086 is 1

LCM of denominators i.e. for 819,5491 is 4497129.

Thus, GCF of Fractions is 1/4497129.Finally, GCF of Fractions for 2683/819, 2086/5491 is 1/4497129.