Use our free GCF of Fractions Calculator tool to compute the GCF of 15/515, 97/712, 369/695 i.e 1/50968520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/515, 97/712, 369/695.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/515,97/712,369/695
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 15/515,97/712,369/695, numerators are 15,97,369
Denominators are 515,712,695
The GCF of 15,97,369 is 1 .
LCM of 515,712,695 is 50968520.
The greatest common factor of 15/515,97/712,369/695 = [GCF of 15,97,369]/[LCM of 515,712,695]= 1/50968520
Therefore, the GCF of 15/515,97/712,369/695 is 1/50968520.
To find the highest common factor of 15,97,369, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 97 are 1, 97
The factors of 369 are 1, 3, 9, 41, 123, 369
The HCF of 15,97,369 is 1.
Lets's calculate GCF of 15,97,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 97
:1,97
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 15,97,369 . The biggest common factor number is the GCF number.
So the greatest common factor 15,97,369 is 1.
Lets's calculate LCM of 515,712,695
5 | 515, 712, 695 |
103, 712, 139 |
∴ So the LCM of the given numbers is 5 x 103 x 712 x 139 = 50968520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50968520
Therefore, the GCF of Fractions 15/515,97/712,369/695 is 1/50968520
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 515,712,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,712,695) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(515,712,695) x common factors =1 x 5 = 5
LCM(515,712,695) = ( 515 × 712 × 695 ) / 5
LCM(515,712,695) = 254842600 / 5
LCM(515,712,695) = 50968520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,97,369?
The HCF of 15,97,369 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 15/515, 97/712, 369/695?
Answer: GCF of Numerators as per given numbers 15/515, 97/712, 369/695 is
GCF of Numerators i.e. for 15,97,369 is 1
LCM of denominators i.e. for 515,712,695 is 50968520.
Thus, GCF of Fractions is 1/50968520.Finally, GCF of Fractions for 15/515, 97/712, 369/695 is 1/50968520.