Use our free GCF of Fractions Calculator tool to compute the GCF of 5153/835, 1113/4621 i.e 1/3858535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5153/835, 1113/4621.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5153/835,1113/4621
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 5153/835,1113/4621, numerators are 5153,1113
Denominators are 835,4621
The GCF of 5153,1113 is 1 .
LCM of 835,4621 is 3858535.
The greatest common factor of 5153/835,1113/4621 = [GCF of 5153,1113]/[LCM of 835,4621]= 1/3858535
Therefore, the GCF of 5153/835,1113/4621 is 1/3858535.
To find the highest common factor of 5153,1113, we have to find the factors of both numbers and list the highest common factor.
The factors of 5153 are 1, 5153
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The HCF of 5153,1113 is 1.
Lets's calculate GCF of 5153,1113
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5153
:1,5153
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Greatest Common Factor
We found the factors 5153,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 5153,1113 is 1.
Lets's calculate LCM of 835,4621
Given numbers has no common factors except 1. So, there LCM is their product i.e 3858535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3858535
Therefore, the GCF of Fractions 5153/835,1113/4621 is 1/3858535
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 835,4621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,4621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,4621) x common factors =1 x 1 = 1
LCM(835,4621) = ( 835 × 4621 ) / 1
LCM(835,4621) = 3858535 / 1
LCM(835,4621) = 3858535
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5153,1113?
The HCF of 5153,1113 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 5153/835, 1113/4621?
Answer: GCF of Numerators as per given numbers 5153/835, 1113/4621 is
GCF of Numerators i.e. for 5153,1113 is 1
LCM of denominators i.e. for 835,4621 is 3858535.
Thus, GCF of Fractions is 1/3858535.Finally, GCF of Fractions for 5153/835, 1113/4621 is 1/3858535.