Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 225/901,8754/231
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 225,8754
Greatest Common Factor of Numerators i.e. GCF of 225,8754 is 3 .
LCM of Denominators means LCM of 901,231 as per the given fractions.
LCM of 901,231 is 208131 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 225,8754
3 | 225, 8754 |
75, 2918 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 8754
List of positive integer factors of 8754 that divides 8754 without a remainder.
1,2,3,6,1459,2918,4377,8754
Greatest Common Factor
We found the factors 225,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 225,8754 is 3.
Lets's calculate LCM of 901,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 208131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/208131
Therefore, the GCF of Fractions 225/901,8754/231 is 3/208131
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 901,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,231) x common factors =1 x 1 = 1
LCM(901,231) = ( 901 × 231 ) / 1
LCM(901,231) = 208131 / 1
LCM(901,231) = 208131
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 225/901, 8754/231?
Answer: GCF of Numerators as per given numbers 225/901, 8754/231 is
GCF of Numerators i.e. for 225,8754 is 3
LCM of denominators i.e. for 901,231 is 208131.
Thus, GCF of Fractions is 3/208131.Finally, GCF of Fractions for 225/901, 8754/231 is 3/208131.