Use our free GCF of Fractions Calculator tool to compute the GCF of 36/845, 96/796, 468/412 i.e 12/69279860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/845, 96/796, 468/412.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/845,96/796,468/412
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 36/845,96/796,468/412, numerators are 36,96,468
Denominators are 845,796,412
The GCF of 36,96,468 is 12 .
LCM of 845,796,412 is 69279860.
The greatest common factor of 36/845,96/796,468/412 = [GCF of 36,96,468]/[LCM of 845,796,412]= 12/69279860
Therefore, the GCF of 36/845,96/796,468/412 is 12/69279860.
To find the highest common factor of 36,96,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 36,96,468 is 12.
Lets's calculate GCF of 36,96,468
2 | 36, 96, 468 |
2 | 18, 48, 234 |
3 | 9, 24, 117 |
3, 8, 39 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 36,96,468 . The biggest common factor number is the GCF number.
So the greatest common factor 36,96,468 is 12.
Lets's calculate LCM of 845,796,412
2 | 845, 796, 412 |
2 | 845, 398, 206 |
845, 199, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 845 x 199 x 103 = 69279860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/69279860
Therefore, the GCF of Fractions 36/845,96/796,468/412 is 12/69279860
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 845,796,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,796,412) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(845,796,412) x common factors =1 x 4 = 4
LCM(845,796,412) = ( 845 × 796 × 412 ) / 4
LCM(845,796,412) = 277119440 / 4
LCM(845,796,412) = 69279860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,96,468?
The HCF of 36,96,468 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 36/845, 96/796, 468/412?
Answer: GCF of Numerators as per given numbers 36/845, 96/796, 468/412 is
GCF of Numerators i.e. for 36,96,468 is 12
LCM of denominators i.e. for 845,796,412 is 69279860.
Thus, GCF of Fractions is 12/69279860.Finally, GCF of Fractions for 36/845, 96/796, 468/412 is 12/69279860.