Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/785,729/955,137/375
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 186,729,137
Greatest Common Factor of Numerators i.e. GCF of 186,729,137 is 1 .
LCM of Denominators means LCM of 785,955,375 as per the given fractions.
LCM of 785,955,375 is 11245125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 186,729,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 186,729,137 . The biggest common factor number is the GCF number.
So the greatest common factor 186,729,137 is 1.
Lets's calculate LCM of 785,955,375
5 | 785, 955, 375 |
157, 191, 75 |
∴ So the LCM of the given numbers is 5 x 157 x 191 x 75 = 11245125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11245125
Therefore, the GCF of Fractions 186/785,729/955,137/375 is 1/11245125
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 785,955,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,955,375) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(785,955,375) x common factors =5 x 5 = 25
LCM(785,955,375) = ( 785 × 955 × 375 ) / 25
LCM(785,955,375) = 281128125 / 25
LCM(785,955,375) = 11245125
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 186/785, 729/955, 137/375?
Answer: GCF of Numerators as per given numbers 186/785, 729/955, 137/375 is
GCF of Numerators i.e. for 186,729,137 is 1
LCM of denominators i.e. for 785,955,375 is 11245125.
Thus, GCF of Fractions is 1/11245125.Finally, GCF of Fractions for 186/785, 729/955, 137/375 is 1/11245125.