Use our free GCF of Fractions Calculator tool to compute the GCF of 2020/562, 1811/4983 i.e 1/2800446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2020/562, 1811/4983.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2020/562,1811/4983
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 2020/562,1811/4983, numerators are 2020,1811
Denominators are 562,4983
The GCF of 2020,1811 is 1 .
LCM of 562,4983 is 2800446.
The greatest common factor of 2020/562,1811/4983 = [GCF of 2020,1811]/[LCM of 562,4983]= 1/2800446
Therefore, the GCF of 2020/562,1811/4983 is 1/2800446.
To find the highest common factor of 2020,1811, we have to find the factors of both numbers and list the highest common factor.
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The factors of 1811 are 1, 1811
The HCF of 2020,1811 is 1.
Lets's calculate GCF of 2020,1811
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Now, list down the factors of 1811
:1,1811
Greatest Common Factor
We found the factors 2020,1811 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,1811 is 1.
Lets's calculate LCM of 562,4983
Given numbers has no common factors except 1. So, there LCM is their product i.e 2800446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2800446
Therefore, the GCF of Fractions 2020/562,1811/4983 is 1/2800446
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 562,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,4983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,4983) x common factors =1 x 1 = 1
LCM(562,4983) = ( 562 × 4983 ) / 1
LCM(562,4983) = 2800446 / 1
LCM(562,4983) = 2800446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2020,1811?
The HCF of 2020,1811 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 2020/562, 1811/4983?
Answer: GCF of Numerators as per given numbers 2020/562, 1811/4983 is
GCF of Numerators i.e. for 2020,1811 is 1
LCM of denominators i.e. for 562,4983 is 2800446.
Thus, GCF of Fractions is 1/2800446.Finally, GCF of Fractions for 2020/562, 1811/4983 is 1/2800446.