Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 194/12,485/768
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 194,485
Greatest Common Factor of Numerators i.e. GCF of 194,485 is 97 .
LCM of Denominators means LCM of 12,768 as per the given fractions.
LCM of 12,768 is 768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 194,485
97 | 194, 485 |
2, 5 |
∴ So the GCF of the given numbers is 97 = 97
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 194,485 . The biggest common factor number is the GCF number.
So the greatest common factor 194,485 is 97.
Lets's calculate LCM of 12,768
2 | 12, 768 |
2 | 6, 384 |
3 | 3, 192 |
1, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 64 = 768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/768
Therefore, the GCF of Fractions 194/12,485/768 is 97/768
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 12,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,768) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(12,768) x common factors =12 x 1 = 12
LCM(12,768) = ( 12 × 768 ) / 12
LCM(12,768) = 9216 / 12
LCM(12,768) = 768
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 194/12, 485/768?
Answer: GCF of Numerators as per given numbers 194/12, 485/768 is
GCF of Numerators i.e. for 194,485 is 97
LCM of denominators i.e. for 12,768 is 768.
Thus, GCF of Fractions is 97/768.Finally, GCF of Fractions for 194/12, 485/768 is 97/768.