Use our free GCF of Fractions Calculator tool to compute the GCF of 5021/113, 7393/217 i.e 1/24521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5021/113, 7393/217.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5021/113,7393/217
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 5021/113,7393/217, numerators are 5021,7393
Denominators are 113,217
The GCF of 5021,7393 is 1 .
LCM of 113,217 is 24521.
The greatest common factor of 5021/113,7393/217 = [GCF of 5021,7393]/[LCM of 113,217]= 1/24521
Therefore, the GCF of 5021/113,7393/217 is 1/24521.
To find the highest common factor of 5021,7393, we have to find the factors of both numbers and list the highest common factor.
The factors of 5021 are 1, 5021
The factors of 7393 are 1, 7393
The HCF of 5021,7393 is 1.
Lets's calculate GCF of 5021,7393
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5021
:1,5021
Now, list down the factors of 7393
:1,7393
Greatest Common Factor
We found the factors 5021,7393 . The biggest common factor number is the GCF number.
So the greatest common factor 5021,7393 is 1.
Lets's calculate LCM of 113,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 24521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24521
Therefore, the GCF of Fractions 5021/113,7393/217 is 1/24521
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 113,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,217) x common factors =1 x 1 = 1
LCM(113,217) = ( 113 × 217 ) / 1
LCM(113,217) = 24521 / 1
LCM(113,217) = 24521
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5021,7393?
The HCF of 5021,7393 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 5021/113, 7393/217?
Answer: GCF of Numerators as per given numbers 5021/113, 7393/217 is
GCF of Numerators i.e. for 5021,7393 is 1
LCM of denominators i.e. for 113,217 is 24521.
Thus, GCF of Fractions is 1/24521.Finally, GCF of Fractions for 5021/113, 7393/217 is 1/24521.