Use our free GCF of Fractions Calculator tool to compute the GCF of 896/871, 912/366 i.e 16/318786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/871, 912/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/871,912/366
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 896/871,912/366, numerators are 896,912
Denominators are 871,366
The GCF of 896,912 is 16 .
LCM of 871,366 is 318786.
The greatest common factor of 896/871,912/366 = [GCF of 896,912]/[LCM of 871,366]= 16/318786
Therefore, the GCF of 896/871,912/366 is 16/318786.
To find the highest common factor of 896,912, 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 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 896,912 is 16.
Lets's calculate GCF of 896,912
2 | 896, 912 |
2 | 448, 456 |
2 | 224, 228 |
2 | 112, 114 |
56, 57 |
∴ 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 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 896,912 . The biggest common factor number is the GCF number.
So the greatest common factor 896,912 is 16.
Lets's calculate LCM of 871,366
Given numbers has no common factors except 1. So, there LCM is their product i.e 318786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/318786
Therefore, the GCF of Fractions 896/871,912/366 is 16/318786
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 871,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,366) x common factors =1 x 1 = 1
LCM(871,366) = ( 871 × 366 ) / 1
LCM(871,366) = 318786 / 1
LCM(871,366) = 318786
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,912?
The HCF of 896,912 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 896/871, 912/366?
Answer: GCF of Numerators as per given numbers 896/871, 912/366 is
GCF of Numerators i.e. for 896,912 is 16
LCM of denominators i.e. for 871,366 is 318786.
Thus, GCF of Fractions is 16/318786.Finally, GCF of Fractions for 896/871, 912/366 is 16/318786.