Use our free GCF of Fractions Calculator tool to compute the GCF of 884/668, 154/408 i.e 2/68136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/668, 154/408.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/668,154/408
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 884/668,154/408, numerators are 884,154
Denominators are 668,408
The GCF of 884,154 is 2 .
LCM of 668,408 is 68136.
The greatest common factor of 884/668,154/408 = [GCF of 884,154]/[LCM of 668,408]= 2/68136
Therefore, the GCF of 884/668,154/408 is 2/68136.
To find the highest common factor of 884,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 884,154 is 2.
Lets's calculate GCF of 884,154
2 | 884, 154 |
442, 77 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 884,154 . The biggest common factor number is the GCF number.
So the greatest common factor 884,154 is 2.
Lets's calculate LCM of 668,408
2 | 668, 408 |
2 | 334, 204 |
167, 102 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 102 = 68136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68136
Therefore, the GCF of Fractions 884/668,154/408 is 2/68136
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 668,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,408) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,408) x common factors =4 x 1 = 4
LCM(668,408) = ( 668 × 408 ) / 4
LCM(668,408) = 272544 / 4
LCM(668,408) = 68136
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 884,154?
The HCF of 884,154 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 884/668, 154/408?
Answer: GCF of Numerators as per given numbers 884/668, 154/408 is
GCF of Numerators i.e. for 884,154 is 2
LCM of denominators i.e. for 668,408 is 68136.
Thus, GCF of Fractions is 2/68136.Finally, GCF of Fractions for 884/668, 154/408 is 2/68136.