Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/73,41/67,50/85,25/143
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 36,41,50,25
Greatest Common Factor of Numerators i.e. GCF of 36,41,50,25 is 1 .
LCM of Denominators means LCM of 73,67,85,143 as per the given fractions.
LCM of 73,67,85,143 is 59450105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,41,50,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 36,41,50,25 . The biggest common factor number is the GCF number.
So the greatest common factor 36,41,50,25 is 1.
Lets's calculate LCM of 73,67,85,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 59450105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59450105
Therefore, the GCF of Fractions 36/73,41/67,50/85,25/143 is 1/59450105
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 73,67,85,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,67,85,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,67,85,143) x common factors =1 x 1 = 1
LCM(73,67,85,143) = ( 73 × 67 × 85 × 143 ) / 1
LCM(73,67,85,143) = 59450105 / 1
LCM(73,67,85,143) = 59450105
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 36/73, 41/67, 50/85, 25/143?
Answer: GCF of Numerators as per given numbers 36/73, 41/67, 50/85, 25/143 is
GCF of Numerators i.e. for 36,41,50,25 is 1
LCM of denominators i.e. for 73,67,85,143 is 59450105.
Thus, GCF of Fractions is 1/59450105.Finally, GCF of Fractions for 36/73, 41/67, 50/85, 25/143 is 1/59450105.