Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/12,194/9582
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 164,194
Greatest Common Factor of Numerators i.e. GCF of 164,194 is 2 .
LCM of Denominators means LCM of 12,9582 as per the given fractions.
LCM of 12,9582 is 19164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,194
2 | 164, 194 |
82, 97 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 164,194 . The biggest common factor number is the GCF number.
So the greatest common factor 164,194 is 2.
Lets's calculate LCM of 12,9582
2 | 12, 9582 |
3 | 6, 4791 |
2, 1597 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 1597 = 19164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19164
Therefore, the GCF of Fractions 164/12,194/9582 is 2/19164
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 12,9582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,9582) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(12,9582) x common factors =6 x 1 = 6
LCM(12,9582) = ( 12 × 9582 ) / 6
LCM(12,9582) = 114984 / 6
LCM(12,9582) = 19164
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 164/12, 194/9582?
Answer: GCF of Numerators as per given numbers 164/12, 194/9582 is
GCF of Numerators i.e. for 164,194 is 2
LCM of denominators i.e. for 12,9582 is 19164.
Thus, GCF of Fractions is 2/19164.Finally, GCF of Fractions for 164/12, 194/9582 is 2/19164.