Use our free GCF of Fractions Calculator tool to compute the GCF of 968/599, 490/148 i.e 2/88652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/599, 490/148.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/599,490/148
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 968/599,490/148, numerators are 968,490
Denominators are 599,148
The GCF of 968,490 is 2 .
LCM of 599,148 is 88652.
The greatest common factor of 968/599,490/148 = [GCF of 968,490]/[LCM of 599,148]= 2/88652
Therefore, the GCF of 968/599,490/148 is 2/88652.
To find the highest common factor of 968,490, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 968,490 is 2.
Lets's calculate GCF of 968,490
2 | 968, 490 |
484, 245 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 968,490 . The biggest common factor number is the GCF number.
So the greatest common factor 968,490 is 2.
Lets's calculate LCM of 599,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 88652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88652
Therefore, the GCF of Fractions 968/599,490/148 is 2/88652
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 599,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,148) x common factors =1 x 1 = 1
LCM(599,148) = ( 599 × 148 ) / 1
LCM(599,148) = 88652 / 1
LCM(599,148) = 88652
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 968,490?
The HCF of 968,490 is 2
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 968/599, 490/148?
Answer: GCF of Numerators as per given numbers 968/599, 490/148 is
GCF of Numerators i.e. for 968,490 is 2
LCM of denominators i.e. for 599,148 is 88652.
Thus, GCF of Fractions is 2/88652.Finally, GCF of Fractions for 968/599, 490/148 is 2/88652.