GCF of 8824/132, 4144/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8824/132, 4144/831 i.e 8/36564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8824/132, 4144/831.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8824/132,4144/831?
Given fractions are 8824/132,4144/831
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 8824/132,4144/831, numerators are 8824,4144
Denominators are 132,831
The GCF of 8824,4144 is 8 .
LCM of 132,831 is 36564.
The greatest common factor of 8824/132,4144/831 = [GCF of 8824,4144]/[LCM of 132,831]= 8/36564
Therefore, the GCF of 8824/132,4144/831 is 8/36564.
To find the highest common factor of 8824,4144, we have to find the factors of both numbers and list the highest common factor.
The factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824
The factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144
The HCF of 8824,4144 is 8.
Lets's calculate GCF of 8824,4144
| 2 | 8824, 4144 |
| 2 | 4412, 2072 |
| 2 | 2206, 1036 |
| 1103, 518 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8824,4144 By Matching Biggest Common Factor Method
Now, list down the factors of 8824
:1,2,4,8,1103,2206,4412,8824
Now, list down the factors of 4144
:1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144
Greatest Common Factor
We found the factors 8824,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 8824,4144 is 8.
Lets's calculate LCM of 132,831
| 3 | 132, 831 |
| 44, 277 |
∴ So the LCM of the given numbers is 3 x 44 x 277 = 36564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/36564
Therefore, the GCF of Fractions 8824/132,4144/831 is 8/36564
Least Common Multiple of 132,831 with GCF Formula
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 132,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(132,831) x common factors =3 x 1 = 3
LCM(132,831) = ( 132 × 831 ) / 3
LCM(132,831) = 109692 / 3
LCM(132,831) = 36564
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FAQs on GCF of Fractions of 8824/132, 4144/831
1. What is the HCF of 8824,4144?
The HCF of 8824,4144 is 8
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 8824/132, 4144/831?
Answer: GCF of Numerators as per given numbers 8824/132, 4144/831 is
GCF of Numerators i.e. for 8824,4144 is 8
LCM of denominators i.e. for 132,831 is 36564.
Thus, GCF of Fractions is 8/36564.Finally, GCF of Fractions for 8824/132, 4144/831 is 8/36564.