Use our free GCF of Fractions Calculator tool to compute the GCF of 615/375, 195/364 i.e 15/136500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/375, 195/364.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/375,195/364
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 615/375,195/364, numerators are 615,195
Denominators are 375,364
The GCF of 615,195 is 15 .
LCM of 375,364 is 136500.
The greatest common factor of 615/375,195/364 = [GCF of 615,195]/[LCM of 375,364]= 15/136500
Therefore, the GCF of 615/375,195/364 is 15/136500.
To find the highest common factor of 615,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 615,195 is 15.
Lets's calculate GCF of 615,195
3 | 615, 195 |
5 | 205, 65 |
41, 13 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 615,195 . The biggest common factor number is the GCF number.
So the greatest common factor 615,195 is 15.
Lets's calculate LCM of 375,364
Given numbers has no common factors except 1. So, there LCM is their product i.e 136500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/136500
Therefore, the GCF of Fractions 615/375,195/364 is 15/136500
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 375,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,364) x common factors =1 x 1 = 1
LCM(375,364) = ( 375 × 364 ) / 1
LCM(375,364) = 136500 / 1
LCM(375,364) = 136500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 615,195?
The HCF of 615,195 is 15
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 615/375, 195/364?
Answer: GCF of Numerators as per given numbers 615/375, 195/364 is
GCF of Numerators i.e. for 615,195 is 15
LCM of denominators i.e. for 375,364 is 136500.
Thus, GCF of Fractions is 15/136500.Finally, GCF of Fractions for 615/375, 195/364 is 15/136500.