Use our free GCF of Fractions Calculator tool to compute the GCF of 8249/813, 4981/2189 i.e 1/1779657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8249/813, 4981/2189.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8249/813,4981/2189
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 8249/813,4981/2189, numerators are 8249,4981
Denominators are 813,2189
The GCF of 8249,4981 is 1 .
LCM of 813,2189 is 1779657.
The greatest common factor of 8249/813,4981/2189 = [GCF of 8249,4981]/[LCM of 813,2189]= 1/1779657
Therefore, the GCF of 8249/813,4981/2189 is 1/1779657.
To find the highest common factor of 8249,4981, we have to find the factors of both numbers and list the highest common factor.
The factors of 8249 are 1, 73, 113, 8249
The factors of 4981 are 1, 17, 293, 4981
The HCF of 8249,4981 is 1.
Lets's calculate GCF of 8249,4981
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8249
:1,73,113,8249
Now, list down the factors of 4981
:1,17,293,4981
Greatest Common Factor
We found the factors 8249,4981 . The biggest common factor number is the GCF number.
So the greatest common factor 8249,4981 is 1.
Lets's calculate LCM of 813,2189
Given numbers has no common factors except 1. So, there LCM is their product i.e 1779657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1779657
Therefore, the GCF of Fractions 8249/813,4981/2189 is 1/1779657
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 813,2189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,2189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,2189) x common factors =1 x 1 = 1
LCM(813,2189) = ( 813 × 2189 ) / 1
LCM(813,2189) = 1779657 / 1
LCM(813,2189) = 1779657
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8249,4981?
The HCF of 8249,4981 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 8249/813, 4981/2189?
Answer: GCF of Numerators as per given numbers 8249/813, 4981/2189 is
GCF of Numerators i.e. for 8249,4981 is 1
LCM of denominators i.e. for 813,2189 is 1779657.
Thus, GCF of Fractions is 1/1779657.Finally, GCF of Fractions for 8249/813, 4981/2189 is 1/1779657.