Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/50,147/57,995/103
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 532,147,995
Greatest Common Factor of Numerators i.e. GCF of 532,147,995 is 1 .
LCM of Denominators means LCM of 50,57,103 as per the given fractions.
LCM of 50,57,103 is 293550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 532,147,995
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Greatest Common Factor
We found the factors 532,147,995 . The biggest common factor number is the GCF number.
So the greatest common factor 532,147,995 is 1.
Lets's calculate LCM of 50,57,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 293550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293550
Therefore, the GCF of Fractions 532/50,147/57,995/103 is 1/293550
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 50,57,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,57,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,57,103) x common factors =1 x 1 = 1
LCM(50,57,103) = ( 50 × 57 × 103 ) / 1
LCM(50,57,103) = 293550 / 1
LCM(50,57,103) = 293550
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 532/50, 147/57, 995/103?
Answer: GCF of Numerators as per given numbers 532/50, 147/57, 995/103 is
GCF of Numerators i.e. for 532,147,995 is 1
LCM of denominators i.e. for 50,57,103 is 293550.
Thus, GCF of Fractions is 1/293550.Finally, GCF of Fractions for 532/50, 147/57, 995/103 is 1/293550.