Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/59,39/94,187/68
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 38,39,187
Greatest Common Factor of Numerators i.e. GCF of 38,39,187 is 1 .
LCM of Denominators means LCM of 59,94,68 as per the given fractions.
LCM of 59,94,68 is 188564 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,39,187
∴ 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 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 38,39,187 . The biggest common factor number is the GCF number.
So the greatest common factor 38,39,187 is 1.
Lets's calculate LCM of 59,94,68
2 | 59, 94, 68 |
59, 47, 34 |
∴ So the LCM of the given numbers is 2 x 59 x 47 x 34 = 188564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188564
Therefore, the GCF of Fractions 38/59,39/94,187/68 is 1/188564
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 59,94,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,94,68) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,94,68) x common factors =1 x 2 = 2
LCM(59,94,68) = ( 59 × 94 × 68 ) / 2
LCM(59,94,68) = 377128 / 2
LCM(59,94,68) = 188564
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 38/59, 39/94, 187/68?
Answer: GCF of Numerators as per given numbers 38/59, 39/94, 187/68 is
GCF of Numerators i.e. for 38,39,187 is 1
LCM of denominators i.e. for 59,94,68 is 188564.
Thus, GCF of Fractions is 1/188564.Finally, GCF of Fractions for 38/59, 39/94, 187/68 is 1/188564.