Use our free GCF of Fractions Calculator tool to compute the GCF of 824/867, 9888/1216 i.e 824/1054272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 824/867, 9888/1216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 824/867,9888/1216
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 824/867,9888/1216, numerators are 824,9888
Denominators are 867,1216
The GCF of 824,9888 is 824 .
LCM of 867,1216 is 1054272.
The greatest common factor of 824/867,9888/1216 = [GCF of 824,9888]/[LCM of 867,1216]= 824/1054272
Therefore, the GCF of 824/867,9888/1216 is 824/1054272.
To find the highest common factor of 824,9888, we have to find the factors of both numbers and list the highest common factor.
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888
The HCF of 824,9888 is 824.
Lets's calculate GCF of 824,9888
2 | 824, 9888 |
2 | 412, 4944 |
2 | 206, 2472 |
103 | 103, 1236 |
1, 12 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 103 = 824
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Now, list down the factors of 9888
:1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Greatest Common Factor
We found the factors 824,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 824,9888 is 824.
Lets's calculate LCM of 867,1216
Given numbers has no common factors except 1. So, there LCM is their product i.e 1054272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 824/1054272
Therefore, the GCF of Fractions 824/867,9888/1216 is 824/1054272
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 867,1216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,1216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,1216) x common factors =1 x 1 = 1
LCM(867,1216) = ( 867 × 1216 ) / 1
LCM(867,1216) = 1054272 / 1
LCM(867,1216) = 1054272
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 824,9888?
The HCF of 824,9888 is 824
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 824/867, 9888/1216?
Answer: GCF of Numerators as per given numbers 824/867, 9888/1216 is
GCF of Numerators i.e. for 824,9888 is 824
LCM of denominators i.e. for 867,1216 is 1054272.
Thus, GCF of Fractions is 824/1054272.Finally, GCF of Fractions for 824/867, 9888/1216 is 824/1054272.