Use our free GCF of Fractions Calculator tool to compute the GCF of 919/163, 484/978 i.e 1/978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/163, 484/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 919/163,484/978
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 919/163,484/978, numerators are 919,484
Denominators are 163,978
The GCF of 919,484 is 1 .
LCM of 163,978 is 978.
The greatest common factor of 919/163,484/978 = [GCF of 919,484]/[LCM of 163,978]= 1/978
Therefore, the GCF of 919/163,484/978 is 1/978.
To find the highest common factor of 919,484, we have to find the factors of both numbers and list the highest common factor.
The factors of 919 are 1, 919
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The HCF of 919,484 is 1.
Lets's calculate GCF of 919,484
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 919
:1,919
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 919,484 . The biggest common factor number is the GCF number.
So the greatest common factor 919,484 is 1.
Lets's calculate LCM of 163,978
163 | 163, 978 |
1, 6 |
∴ So the LCM of the given numbers is 163 x 1 x 6 = 978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/978
Therefore, the GCF of Fractions 919/163,484/978 is 1/978
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 163,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,978) = 163
common factors(in case of two or more numbers have common factors) = 1
GCF(163,978) x common factors =163 x 1 = 163
LCM(163,978) = ( 163 × 978 ) / 163
LCM(163,978) = 159414 / 163
LCM(163,978) = 978
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 919,484?
The HCF of 919,484 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 919/163, 484/978?
Answer: GCF of Numerators as per given numbers 919/163, 484/978 is
GCF of Numerators i.e. for 919,484 is 1
LCM of denominators i.e. for 163,978 is 978.
Thus, GCF of Fractions is 1/978.Finally, GCF of Fractions for 919/163, 484/978 is 1/978.