Use our free GCF of Fractions Calculator tool to compute the GCF of 97/198, 32/546, 398/987 i.e 1/846846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/198, 32/546, 398/987.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/198,32/546,398/987
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 97/198,32/546,398/987, numerators are 97,32,398
Denominators are 198,546,987
The GCF of 97,32,398 is 1 .
LCM of 198,546,987 is 846846.
The greatest common factor of 97/198,32/546,398/987 = [GCF of 97,32,398]/[LCM of 198,546,987]= 1/846846
Therefore, the GCF of 97/198,32/546,398/987 is 1/846846.
To find the highest common factor of 97,32,398, 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 32 are 1, 2, 4, 8, 16, 32
The factors of 398 are 1, 2, 199, 398
The HCF of 97,32,398 is 1.
Lets's calculate GCF of 97,32,398
∴ 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 32
:1,2,4,8,16,32
Now, list down the factors of 398
:1,2,199,398
Greatest Common Factor
We found the factors 97,32,398 . The biggest common factor number is the GCF number.
So the greatest common factor 97,32,398 is 1.
Lets's calculate LCM of 198,546,987
2 | 198, 546, 987 |
3 | 99, 273, 987 |
7 | 33, 91, 329 |
33, 13, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 33 x 13 x 47 = 846846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/846846
Therefore, the GCF of Fractions 97/198,32/546,398/987 is 1/846846
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 198,546,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,546,987) = 3
common factors(in case of two or more numbers have common factors) = 42
GCF(198,546,987) x common factors =3 x 42 = 126
LCM(198,546,987) = ( 198 × 546 × 987 ) / 126
LCM(198,546,987) = 106702596 / 126
LCM(198,546,987) = 846846
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,32,398?
The HCF of 97,32,398 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 97/198, 32/546, 398/987?
Answer: GCF of Numerators as per given numbers 97/198, 32/546, 398/987 is
GCF of Numerators i.e. for 97,32,398 is 1
LCM of denominators i.e. for 198,546,987 is 846846.
Thus, GCF of Fractions is 1/846846.Finally, GCF of Fractions for 97/198, 32/546, 398/987 is 1/846846.