Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 908/188,2886/725
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 908,2886
Greatest Common Factor of Numerators i.e. GCF of 908,2886 is 2 .
LCM of Denominators means LCM of 188,725 as per the given fractions.
LCM of 188,725 is 136300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 908,2886
2 | 908, 2886 |
454, 1443 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 2886
List of positive integer factors of 2886 that divides 2886 without a remainder.
1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Greatest Common Factor
We found the factors 908,2886 . The biggest common factor number is the GCF number.
So the greatest common factor 908,2886 is 2.
Lets's calculate LCM of 188,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 136300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136300
Therefore, the GCF of Fractions 908/188,2886/725 is 2/136300
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 188,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,725) x common factors =1 x 1 = 1
LCM(188,725) = ( 188 × 725 ) / 1
LCM(188,725) = 136300 / 1
LCM(188,725) = 136300
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 908/188, 2886/725?
Answer: GCF of Numerators as per given numbers 908/188, 2886/725 is
GCF of Numerators i.e. for 908,2886 is 2
LCM of denominators i.e. for 188,725 is 136300.
Thus, GCF of Fractions is 2/136300.Finally, GCF of Fractions for 908/188, 2886/725 is 2/136300.