Use our free GCF of Fractions Calculator tool to compute the GCF of 48/999, 98/381, 374/127 i.e 2/126873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/999, 98/381, 374/127.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/999,98/381,374/127
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 48/999,98/381,374/127, numerators are 48,98,374
Denominators are 999,381,127
The GCF of 48,98,374 is 2 .
LCM of 999,381,127 is 126873.
The greatest common factor of 48/999,98/381,374/127 = [GCF of 48,98,374]/[LCM of 999,381,127]= 2/126873
Therefore, the GCF of 48/999,98/381,374/127 is 2/126873.
To find the highest common factor of 48,98,374, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The HCF of 48,98,374 is 2.
Lets's calculate GCF of 48,98,374
2 | 48, 98, 374 |
24, 49, 187 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 48,98,374 . The biggest common factor number is the GCF number.
So the greatest common factor 48,98,374 is 2.
Lets's calculate LCM of 999,381,127
3 | 999, 381, 127 |
127 | 333, 127, 127 |
333, 1, 1 |
∴ So the LCM of the given numbers is 3 x 127 x 333 x 1 x 1 = 126873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126873
Therefore, the GCF of Fractions 48/999,98/381,374/127 is 2/126873
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 999,381,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,381,127) = 1
common factors(in case of two or more numbers have common factors) = 381
GCF(999,381,127) x common factors =1 x 381 = 381
LCM(999,381,127) = ( 999 × 381 × 127 ) / 381
LCM(999,381,127) = 48338613 / 381
LCM(999,381,127) = 126873
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,98,374?
The HCF of 48,98,374 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 48/999, 98/381, 374/127?
Answer: GCF of Numerators as per given numbers 48/999, 98/381, 374/127 is
GCF of Numerators i.e. for 48,98,374 is 2
LCM of denominators i.e. for 999,381,127 is 126873.
Thus, GCF of Fractions is 2/126873.Finally, GCF of Fractions for 48/999, 98/381, 374/127 is 2/126873.