Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 616/17,225/50,128/241
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 616,225,128
Greatest Common Factor of Numerators i.e. GCF of 616,225,128 is 1 .
LCM of Denominators means LCM of 17,50,241 as per the given fractions.
LCM of 17,50,241 is 204850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 616,225,128
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 616,225,128 . The biggest common factor number is the GCF number.
So the greatest common factor 616,225,128 is 1.
Lets's calculate LCM of 17,50,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 204850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204850
Therefore, the GCF of Fractions 616/17,225/50,128/241 is 1/204850
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 17,50,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,50,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,50,241) x common factors =1 x 1 = 1
LCM(17,50,241) = ( 17 × 50 × 241 ) / 1
LCM(17,50,241) = 204850 / 1
LCM(17,50,241) = 204850
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 616/17, 225/50, 128/241?
Answer: GCF of Numerators as per given numbers 616/17, 225/50, 128/241 is
GCF of Numerators i.e. for 616,225,128 is 1
LCM of denominators i.e. for 17,50,241 is 204850.
Thus, GCF of Fractions is 1/204850.Finally, GCF of Fractions for 616/17, 225/50, 128/241 is 1/204850.