Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/11,839/87,119/607
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 48,839,119
Greatest Common Factor of Numerators i.e. GCF of 48,839,119 is 1 .
LCM of Denominators means LCM of 11,87,607 as per the given fractions.
LCM of 11,87,607 is 580899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,839,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 48,839,119 . The biggest common factor number is the GCF number.
So the greatest common factor 48,839,119 is 1.
Lets's calculate LCM of 11,87,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 580899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580899
Therefore, the GCF of Fractions 48/11,839/87,119/607 is 1/580899
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 11,87,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,87,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,87,607) x common factors =1 x 1 = 1
LCM(11,87,607) = ( 11 × 87 × 607 ) / 1
LCM(11,87,607) = 580899 / 1
LCM(11,87,607) = 580899
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 48/11, 839/87, 119/607?
Answer: GCF of Numerators as per given numbers 48/11, 839/87, 119/607 is
GCF of Numerators i.e. for 48,839,119 is 1
LCM of denominators i.e. for 11,87,607 is 580899.
Thus, GCF of Fractions is 1/580899.Finally, GCF of Fractions for 48/11, 839/87, 119/607 is 1/580899.