Use our free GCF of Fractions Calculator tool to compute the GCF of 238/624, 968/984 i.e 2/25584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 238/624, 968/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 238/624,968/984
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 238/624,968/984, numerators are 238,968
Denominators are 624,984
The GCF of 238,968 is 2 .
LCM of 624,984 is 25584.
The greatest common factor of 238/624,968/984 = [GCF of 238,968]/[LCM of 624,984]= 2/25584
Therefore, the GCF of 238/624,968/984 is 2/25584.
To find the highest common factor of 238,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 238,968 is 2.
Lets's calculate GCF of 238,968
2 | 238, 968 |
119, 484 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 238,968 . The biggest common factor number is the GCF number.
So the greatest common factor 238,968 is 2.
Lets's calculate LCM of 624,984
2 | 624, 984 |
2 | 312, 492 |
2 | 156, 246 |
3 | 78, 123 |
26, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 26 x 41 = 25584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25584
Therefore, the GCF of Fractions 238/624,968/984 is 2/25584
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 624,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,984) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(624,984) x common factors =24 x 1 = 24
LCM(624,984) = ( 624 × 984 ) / 24
LCM(624,984) = 614016 / 24
LCM(624,984) = 25584
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 238,968?
The HCF of 238,968 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 238/624, 968/984?
Answer: GCF of Numerators as per given numbers 238/624, 968/984 is
GCF of Numerators i.e. for 238,968 is 2
LCM of denominators i.e. for 624,984 is 25584.
Thus, GCF of Fractions is 2/25584.Finally, GCF of Fractions for 238/624, 968/984 is 2/25584.