Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/150,9401/1914
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 222,9401
Greatest Common Factor of Numerators i.e. GCF of 222,9401 is 1 .
LCM of Denominators means LCM of 150,1914 as per the given fractions.
LCM of 150,1914 is 47850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 222,9401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 9401
List of positive integer factors of 9401 that divides 9401 without a remainder.
1,7,17,79,119,553,1343,9401
Greatest Common Factor
We found the factors 222,9401 . The biggest common factor number is the GCF number.
So the greatest common factor 222,9401 is 1.
Lets's calculate LCM of 150,1914
2 | 150, 1914 |
3 | 75, 957 |
25, 319 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 319 = 47850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47850
Therefore, the GCF of Fractions 222/150,9401/1914 is 1/47850
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 150,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,1914) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,1914) x common factors =6 x 1 = 6
LCM(150,1914) = ( 150 × 1914 ) / 6
LCM(150,1914) = 287100 / 6
LCM(150,1914) = 47850
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 222/150, 9401/1914?
Answer: GCF of Numerators as per given numbers 222/150, 9401/1914 is
GCF of Numerators i.e. for 222,9401 is 1
LCM of denominators i.e. for 150,1914 is 47850.
Thus, GCF of Fractions is 1/47850.Finally, GCF of Fractions for 222/150, 9401/1914 is 1/47850.