Use our free GCF of Fractions Calculator tool to compute the GCF of 896/468, 208/741 i.e 16/8892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/468, 208/741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/468,208/741
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 896/468,208/741, numerators are 896,208
Denominators are 468,741
The GCF of 896,208 is 16 .
LCM of 468,741 is 8892.
The greatest common factor of 896/468,208/741 = [GCF of 896,208]/[LCM of 468,741]= 16/8892
Therefore, the GCF of 896/468,208/741 is 16/8892.
To find the highest common factor of 896,208, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The HCF of 896,208 is 16.
Lets's calculate GCF of 896,208
2 | 896, 208 |
2 | 448, 104 |
2 | 224, 52 |
2 | 112, 26 |
56, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 896,208 . The biggest common factor number is the GCF number.
So the greatest common factor 896,208 is 16.
Lets's calculate LCM of 468,741
3 | 468, 741 |
13 | 156, 247 |
12, 19 |
∴ So the LCM of the given numbers is 3 x 13 x 12 x 19 = 8892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/8892
Therefore, the GCF of Fractions 896/468,208/741 is 16/8892
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 468,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,741) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(468,741) x common factors =39 x 1 = 39
LCM(468,741) = ( 468 × 741 ) / 39
LCM(468,741) = 346788 / 39
LCM(468,741) = 8892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,208?
The HCF of 896,208 is 16
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 896/468, 208/741?
Answer: GCF of Numerators as per given numbers 896/468, 208/741 is
GCF of Numerators i.e. for 896,208 is 16
LCM of denominators i.e. for 468,741 is 8892.
Thus, GCF of Fractions is 16/8892.Finally, GCF of Fractions for 896/468, 208/741 is 16/8892.