Use our free GCF of Fractions Calculator tool to compute the GCF of 2196/436, 8127/3548 i.e 9/386732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2196/436, 8127/3548.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2196/436,8127/3548
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 2196/436,8127/3548, numerators are 2196,8127
Denominators are 436,3548
The GCF of 2196,8127 is 9 .
LCM of 436,3548 is 386732.
The greatest common factor of 2196/436,8127/3548 = [GCF of 2196,8127]/[LCM of 436,3548]= 9/386732
Therefore, the GCF of 2196/436,8127/3548 is 9/386732.
To find the highest common factor of 2196,8127, we have to find the factors of both numbers and list the highest common factor.
The factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196
The factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
The HCF of 2196,8127 is 9.
Lets's calculate GCF of 2196,8127
3 | 2196, 8127 |
3 | 732, 2709 |
244, 903 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 2196
:1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Now, list down the factors of 8127
:1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Greatest Common Factor
We found the factors 2196,8127 . The biggest common factor number is the GCF number.
So the greatest common factor 2196,8127 is 9.
Lets's calculate LCM of 436,3548
2 | 436, 3548 |
2 | 218, 1774 |
109, 887 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 887 = 386732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/386732
Therefore, the GCF of Fractions 2196/436,8127/3548 is 9/386732
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 436,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,3548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,3548) x common factors =4 x 1 = 4
LCM(436,3548) = ( 436 × 3548 ) / 4
LCM(436,3548) = 1546928 / 4
LCM(436,3548) = 386732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2196,8127?
The HCF of 2196,8127 is 9
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 2196/436, 8127/3548?
Answer: GCF of Numerators as per given numbers 2196/436, 8127/3548 is
GCF of Numerators i.e. for 2196,8127 is 9
LCM of denominators i.e. for 436,3548 is 386732.
Thus, GCF of Fractions is 9/386732.Finally, GCF of Fractions for 2196/436, 8127/3548 is 9/386732.