Use our free GCF of Fractions Calculator tool to compute the GCF of 6154/238, 8816/9457 i.e 2/321538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6154/238, 8816/9457.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6154/238,8816/9457
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 6154/238,8816/9457, numerators are 6154,8816
Denominators are 238,9457
The GCF of 6154,8816 is 2 .
LCM of 238,9457 is 321538.
The greatest common factor of 6154/238,8816/9457 = [GCF of 6154,8816]/[LCM of 238,9457]= 2/321538
Therefore, the GCF of 6154/238,8816/9457 is 2/321538.
To find the highest common factor of 6154,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 6154,8816 is 2.
Lets's calculate GCF of 6154,8816
2 | 6154, 8816 |
3077, 4408 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6154
:1,2,17,34,181,362,3077,6154
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 6154,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 6154,8816 is 2.
Lets's calculate LCM of 238,9457
7 | 238, 9457 |
34, 1351 |
∴ So the LCM of the given numbers is 7 x 34 x 1351 = 321538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321538
Therefore, the GCF of Fractions 6154/238,8816/9457 is 2/321538
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 238,9457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,9457) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(238,9457) x common factors =7 x 1 = 7
LCM(238,9457) = ( 238 × 9457 ) / 7
LCM(238,9457) = 2250766 / 7
LCM(238,9457) = 321538
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6154,8816?
The HCF of 6154,8816 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 6154/238, 8816/9457?
Answer: GCF of Numerators as per given numbers 6154/238, 8816/9457 is
GCF of Numerators i.e. for 6154,8816 is 2
LCM of denominators i.e. for 238,9457 is 321538.
Thus, GCF of Fractions is 2/321538.Finally, GCF of Fractions for 6154/238, 8816/9457 is 2/321538.