Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/43,73/52,720/187
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 38,73,720
Greatest Common Factor of Numerators i.e. GCF of 38,73,720 is 1 .
LCM of Denominators means LCM of 43,52,187 as per the given fractions.
LCM of 43,52,187 is 418132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,73,720
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 38,73,720 . The biggest common factor number is the GCF number.
So the greatest common factor 38,73,720 is 1.
Lets's calculate LCM of 43,52,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 418132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418132
Therefore, the GCF of Fractions 38/43,73/52,720/187 is 1/418132
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 43,52,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,52,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,52,187) x common factors =1 x 1 = 1
LCM(43,52,187) = ( 43 × 52 × 187 ) / 1
LCM(43,52,187) = 418132 / 1
LCM(43,52,187) = 418132
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 38/43, 73/52, 720/187?
Answer: GCF of Numerators as per given numbers 38/43, 73/52, 720/187 is
GCF of Numerators i.e. for 38,73,720 is 1
LCM of denominators i.e. for 43,52,187 is 418132.
Thus, GCF of Fractions is 1/418132.Finally, GCF of Fractions for 38/43, 73/52, 720/187 is 1/418132.