Use our free GCF of Fractions Calculator tool to compute the GCF of 797/57, 898/229 i.e 1/13053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 797/57, 898/229.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 797/57,898/229
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 797/57,898/229, numerators are 797,898
Denominators are 57,229
The GCF of 797,898 is 1 .
LCM of 57,229 is 13053.
The greatest common factor of 797/57,898/229 = [GCF of 797,898]/[LCM of 57,229]= 1/13053
Therefore, the GCF of 797/57,898/229 is 1/13053.
To find the highest common factor of 797,898, we have to find the factors of both numbers and list the highest common factor.
The factors of 797 are 1, 797
The factors of 898 are 1, 2, 449, 898
The HCF of 797,898 is 1.
Lets's calculate GCF of 797,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 797
:1,797
Now, list down the factors of 898
:1,2,449,898
Greatest Common Factor
We found the factors 797,898 . The biggest common factor number is the GCF number.
So the greatest common factor 797,898 is 1.
Lets's calculate LCM of 57,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 13053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13053
Therefore, the GCF of Fractions 797/57,898/229 is 1/13053
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 57,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,229) x common factors =1 x 1 = 1
LCM(57,229) = ( 57 × 229 ) / 1
LCM(57,229) = 13053 / 1
LCM(57,229) = 13053
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 797,898?
The HCF of 797,898 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 797/57, 898/229?
Answer: GCF of Numerators as per given numbers 797/57, 898/229 is
GCF of Numerators i.e. for 797,898 is 1
LCM of denominators i.e. for 57,229 is 13053.
Thus, GCF of Fractions is 1/13053.Finally, GCF of Fractions for 797/57, 898/229 is 1/13053.