Use our free GCF of Fractions Calculator tool to compute the GCF of 97/42, 736/37, 185/915 i.e 1/473970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/42, 736/37, 185/915.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/42,736/37,185/915
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 97/42,736/37,185/915, numerators are 97,736,185
Denominators are 42,37,915
The GCF of 97,736,185 is 1 .
LCM of 42,37,915 is 473970.
The greatest common factor of 97/42,736/37,185/915 = [GCF of 97,736,185]/[LCM of 42,37,915]= 1/473970
Therefore, the GCF of 97/42,736/37,185/915 is 1/473970.
To find the highest common factor of 97,736,185, 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 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The factors of 185 are 1, 5, 37, 185
The HCF of 97,736,185 is 1.
Lets's calculate GCF of 97,736,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Now, list down the factors of 185
:1,5,37,185
Greatest Common Factor
We found the factors 97,736,185 . The biggest common factor number is the GCF number.
So the greatest common factor 97,736,185 is 1.
Lets's calculate LCM of 42,37,915
3 | 42, 37, 915 |
14, 37, 305 |
∴ So the LCM of the given numbers is 3 x 14 x 37 x 305 = 473970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473970
Therefore, the GCF of Fractions 97/42,736/37,185/915 is 1/473970
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 42,37,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,37,915) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(42,37,915) x common factors =1 x 3 = 3
LCM(42,37,915) = ( 42 × 37 × 915 ) / 3
LCM(42,37,915) = 1421910 / 3
LCM(42,37,915) = 473970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,736,185?
The HCF of 97,736,185 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 97/42, 736/37, 185/915?
Answer: GCF of Numerators as per given numbers 97/42, 736/37, 185/915 is
GCF of Numerators i.e. for 97,736,185 is 1
LCM of denominators i.e. for 42,37,915 is 473970.
Thus, GCF of Fractions is 1/473970.Finally, GCF of Fractions for 97/42, 736/37, 185/915 is 1/473970.