Use our free GCF of Fractions Calculator tool to compute the GCF of 8472/944, 2436/9008 i.e 12/531472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8472/944, 2436/9008.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8472/944,2436/9008
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 8472/944,2436/9008, numerators are 8472,2436
Denominators are 944,9008
The GCF of 8472,2436 is 12 .
LCM of 944,9008 is 531472.
The greatest common factor of 8472/944,2436/9008 = [GCF of 8472,2436]/[LCM of 944,9008]= 12/531472
Therefore, the GCF of 8472/944,2436/9008 is 12/531472.
To find the highest common factor of 8472,2436, we have to find the factors of both numbers and list the highest common factor.
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
The HCF of 8472,2436 is 12.
Lets's calculate GCF of 8472,2436
2 | 8472, 2436 |
2 | 4236, 1218 |
3 | 2118, 609 |
706, 203 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Now, list down the factors of 2436
:1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Greatest Common Factor
We found the factors 8472,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 8472,2436 is 12.
Lets's calculate LCM of 944,9008
2 | 944, 9008 |
2 | 472, 4504 |
2 | 236, 2252 |
2 | 118, 1126 |
59, 563 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 563 = 531472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/531472
Therefore, the GCF of Fractions 8472/944,2436/9008 is 12/531472
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 944,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,9008) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(944,9008) x common factors =16 x 1 = 16
LCM(944,9008) = ( 944 × 9008 ) / 16
LCM(944,9008) = 8503552 / 16
LCM(944,9008) = 531472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8472,2436?
The HCF of 8472,2436 is 12
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 8472/944, 2436/9008?
Answer: GCF of Numerators as per given numbers 8472/944, 2436/9008 is
GCF of Numerators i.e. for 8472,2436 is 12
LCM of denominators i.e. for 944,9008 is 531472.
Thus, GCF of Fractions is 12/531472.Finally, GCF of Fractions for 8472/944, 2436/9008 is 12/531472.