Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/37,3952/325
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 154,3952
Greatest Common Factor of Numerators i.e. GCF of 154,3952 is 2 .
LCM of Denominators means LCM of 37,325 as per the given fractions.
LCM of 37,325 is 12025 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 154,3952
2 | 154, 3952 |
77, 1976 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 3952
List of positive integer factors of 3952 that divides 3952 without a remainder.
1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Greatest Common Factor
We found the factors 154,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 154,3952 is 2.
Lets's calculate LCM of 37,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 12025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12025
Therefore, the GCF of Fractions 154/37,3952/325 is 2/12025
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 37,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,325) x common factors =1 x 1 = 1
LCM(37,325) = ( 37 × 325 ) / 1
LCM(37,325) = 12025 / 1
LCM(37,325) = 12025
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 154/37, 3952/325?
Answer: GCF of Numerators as per given numbers 154/37, 3952/325 is
GCF of Numerators i.e. for 154,3952 is 2
LCM of denominators i.e. for 37,325 is 12025.
Thus, GCF of Fractions is 2/12025.Finally, GCF of Fractions for 154/37, 3952/325 is 2/12025.