Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/41,38/529,181/154
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 42,38,181
Greatest Common Factor of Numerators i.e. GCF of 42,38,181 is 1 .
LCM of Denominators means LCM of 41,529,154 as per the given fractions.
LCM of 41,529,154 is 3340106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,38,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 42,38,181 . The biggest common factor number is the GCF number.
So the greatest common factor 42,38,181 is 1.
Lets's calculate LCM of 41,529,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 3340106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3340106
Therefore, the GCF of Fractions 42/41,38/529,181/154 is 1/3340106
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 41,529,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,529,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,529,154) x common factors =1 x 1 = 1
LCM(41,529,154) = ( 41 × 529 × 154 ) / 1
LCM(41,529,154) = 3340106 / 1
LCM(41,529,154) = 3340106
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 42/41, 38/529, 181/154?
Answer: GCF of Numerators as per given numbers 42/41, 38/529, 181/154 is
GCF of Numerators i.e. for 42,38,181 is 1
LCM of denominators i.e. for 41,529,154 is 3340106.
Thus, GCF of Fractions is 1/3340106.Finally, GCF of Fractions for 42/41, 38/529, 181/154 is 1/3340106.