Use our free GCF of Fractions Calculator tool to compute the GCF of 371/159, 648/978 i.e 1/51834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/159, 648/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/159,648/978
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 371/159,648/978, numerators are 371,648
Denominators are 159,978
The GCF of 371,648 is 1 .
LCM of 159,978 is 51834.
The greatest common factor of 371/159,648/978 = [GCF of 371,648]/[LCM of 159,978]= 1/51834
Therefore, the GCF of 371/159,648/978 is 1/51834.
To find the highest common factor of 371,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 371,648 is 1.
Lets's calculate GCF of 371,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 371,648 . The biggest common factor number is the GCF number.
So the greatest common factor 371,648 is 1.
Lets's calculate LCM of 159,978
3 | 159, 978 |
53, 326 |
∴ So the LCM of the given numbers is 3 x 53 x 326 = 51834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51834
Therefore, the GCF of Fractions 371/159,648/978 is 1/51834
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 159,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,978) x common factors =3 x 1 = 3
LCM(159,978) = ( 159 × 978 ) / 3
LCM(159,978) = 155502 / 3
LCM(159,978) = 51834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,648?
The HCF of 371,648 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 371/159, 648/978?
Answer: GCF of Numerators as per given numbers 371/159, 648/978 is
GCF of Numerators i.e. for 371,648 is 1
LCM of denominators i.e. for 159,978 is 51834.
Thus, GCF of Fractions is 1/51834.Finally, GCF of Fractions for 371/159, 648/978 is 1/51834.