Use our free GCF of Fractions Calculator tool to compute the GCF of 17/38, 982/84, 386/978 i.e 1/260148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/38, 982/84, 386/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/38,982/84,386/978
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 17/38,982/84,386/978, numerators are 17,982,386
Denominators are 38,84,978
The GCF of 17,982,386 is 1 .
LCM of 38,84,978 is 260148.
The greatest common factor of 17/38,982/84,386/978 = [GCF of 17,982,386]/[LCM of 38,84,978]= 1/260148
Therefore, the GCF of 17/38,982/84,386/978 is 1/260148.
To find the highest common factor of 17,982,386, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 982 are 1, 2, 491, 982
The factors of 386 are 1, 2, 193, 386
The HCF of 17,982,386 is 1.
Lets's calculate GCF of 17,982,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 386
:1,2,193,386
Greatest Common Factor
We found the factors 17,982,386 . The biggest common factor number is the GCF number.
So the greatest common factor 17,982,386 is 1.
Lets's calculate LCM of 38,84,978
2 | 38, 84, 978 |
3 | 19, 42, 489 |
19, 14, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 14 x 163 = 260148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260148
Therefore, the GCF of Fractions 17/38,982/84,386/978 is 1/260148
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 38,84,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,84,978) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(38,84,978) x common factors =2 x 6 = 12
LCM(38,84,978) = ( 38 × 84 × 978 ) / 12
LCM(38,84,978) = 3121776 / 12
LCM(38,84,978) = 260148
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,982,386?
The HCF of 17,982,386 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 17/38, 982/84, 386/978?
Answer: GCF of Numerators as per given numbers 17/38, 982/84, 386/978 is
GCF of Numerators i.e. for 17,982,386 is 1
LCM of denominators i.e. for 38,84,978 is 260148.
Thus, GCF of Fractions is 1/260148.Finally, GCF of Fractions for 17/38, 982/84, 386/978 is 1/260148.