Use our free GCF of Fractions Calculator tool to compute the GCF of 152/796, 4978/990 i.e 38/394020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/796, 4978/990.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/796,4978/990
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 152/796,4978/990, numerators are 152,4978
Denominators are 796,990
The GCF of 152,4978 is 38 .
LCM of 796,990 is 394020.
The greatest common factor of 152/796,4978/990 = [GCF of 152,4978]/[LCM of 796,990]= 38/394020
Therefore, the GCF of 152/796,4978/990 is 38/394020.
To find the highest common factor of 152,4978, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978
The HCF of 152,4978 is 38.
Lets's calculate GCF of 152,4978
2 | 152, 4978 |
19 | 76, 2489 |
4, 131 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 4978
:1,2,19,38,131,262,2489,4978
Greatest Common Factor
We found the factors 152,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 152,4978 is 38.
Lets's calculate LCM of 796,990
2 | 796, 990 |
398, 495 |
∴ So the LCM of the given numbers is 2 x 398 x 495 = 394020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/394020
Therefore, the GCF of Fractions 152/796,4978/990 is 38/394020
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 796,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,990) x common factors =2 x 1 = 2
LCM(796,990) = ( 796 × 990 ) / 2
LCM(796,990) = 788040 / 2
LCM(796,990) = 394020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 152,4978?
The HCF of 152,4978 is 38
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 152/796, 4978/990?
Answer: GCF of Numerators as per given numbers 152/796, 4978/990 is
GCF of Numerators i.e. for 152,4978 is 38
LCM of denominators i.e. for 796,990 is 394020.
Thus, GCF of Fractions is 38/394020.Finally, GCF of Fractions for 152/796, 4978/990 is 38/394020.