Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/85,3135/286
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 187,3135
Greatest Common Factor of Numerators i.e. GCF of 187,3135 is 11 .
LCM of Denominators means LCM of 85,286 as per the given fractions.
LCM of 85,286 is 24310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 187,3135
11 | 187, 3135 |
17, 285 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 3135
List of positive integer factors of 3135 that divides 3135 without a remainder.
1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 187,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 187,3135 is 11.
Lets's calculate LCM of 85,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 24310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/24310
Therefore, the GCF of Fractions 187/85,3135/286 is 11/24310
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 85,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,286) x common factors =1 x 1 = 1
LCM(85,286) = ( 85 × 286 ) / 1
LCM(85,286) = 24310 / 1
LCM(85,286) = 24310
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 187/85, 3135/286?
Answer: GCF of Numerators as per given numbers 187/85, 3135/286 is
GCF of Numerators i.e. for 187,3135 is 11
LCM of denominators i.e. for 85,286 is 24310.
Thus, GCF of Fractions is 11/24310.Finally, GCF of Fractions for 187/85, 3135/286 is 11/24310.