Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/188,3494/3786
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 28,3494
Greatest Common Factor of Numerators i.e. GCF of 28,3494 is 2 .
LCM of Denominators means LCM of 188,3786 as per the given fractions.
LCM of 188,3786 is 355884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,3494
2 | 28, 3494 |
14, 1747 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 3494
List of positive integer factors of 3494 that divides 3494 without a remainder.
1,2,1747,3494
Greatest Common Factor
We found the factors 28,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3494 is 2.
Lets's calculate LCM of 188,3786
2 | 188, 3786 |
94, 1893 |
∴ So the LCM of the given numbers is 2 x 94 x 1893 = 355884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355884
Therefore, the GCF of Fractions 28/188,3494/3786 is 2/355884
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 188,3786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,3786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,3786) x common factors =2 x 1 = 2
LCM(188,3786) = ( 188 × 3786 ) / 2
LCM(188,3786) = 711768 / 2
LCM(188,3786) = 355884
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 28/188, 3494/3786?
Answer: GCF of Numerators as per given numbers 28/188, 3494/3786 is
GCF of Numerators i.e. for 28,3494 is 2
LCM of denominators i.e. for 188,3786 is 355884.
Thus, GCF of Fractions is 2/355884.Finally, GCF of Fractions for 28/188, 3494/3786 is 2/355884.