Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/48,302/77,190/43
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 1,302,190
Greatest Common Factor of Numerators i.e. GCF of 1,302,190 is 1 .
LCM of Denominators means LCM of 48,77,43 as per the given fractions.
LCM of 48,77,43 is 158928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,302,190
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 1,302,190 . The biggest common factor number is the GCF number.
So the greatest common factor 1,302,190 is 1.
Lets's calculate LCM of 48,77,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 158928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158928
Therefore, the GCF of Fractions 1/48,302/77,190/43 is 1/158928
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 48,77,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,77,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,77,43) x common factors =1 x 1 = 1
LCM(48,77,43) = ( 48 × 77 × 43 ) / 1
LCM(48,77,43) = 158928 / 1
LCM(48,77,43) = 158928
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 1/48, 302/77, 190/43?
Answer: GCF of Numerators as per given numbers 1/48, 302/77, 190/43 is
GCF of Numerators i.e. for 1,302,190 is 1
LCM of denominators i.e. for 48,77,43 is 158928.
Thus, GCF of Fractions is 1/158928.Finally, GCF of Fractions for 1/48, 302/77, 190/43 is 1/158928.