Use our free GCF of Fractions Calculator tool to compute the GCF of 97/596, 53/6055 i.e 1/3608780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/596, 53/6055.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/596,53/6055
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 97/596,53/6055, numerators are 97,53
Denominators are 596,6055
The GCF of 97,53 is 1 .
LCM of 596,6055 is 3608780.
The greatest common factor of 97/596,53/6055 = [GCF of 97,53]/[LCM of 596,6055]= 1/3608780
Therefore, the GCF of 97/596,53/6055 is 1/3608780.
To find the highest common factor of 97,53, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 53 are 1, 53
The HCF of 97,53 is 1.
Lets's calculate GCF of 97,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 596,6055
Given numbers has no common factors except 1. So, there LCM is their product i.e 3608780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3608780
Therefore, the GCF of Fractions 97/596,53/6055 is 1/3608780
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 596,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,6055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,6055) x common factors =1 x 1 = 1
LCM(596,6055) = ( 596 × 6055 ) / 1
LCM(596,6055) = 3608780 / 1
LCM(596,6055) = 3608780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,53?
The HCF of 97,53 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 97/596, 53/6055?
Answer: GCF of Numerators as per given numbers 97/596, 53/6055 is
GCF of Numerators i.e. for 97,53 is 1
LCM of denominators i.e. for 596,6055 is 3608780.
Thus, GCF of Fractions is 1/3608780.Finally, GCF of Fractions for 97/596, 53/6055 is 1/3608780.