Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 998/51,226/9027
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 998,226
Greatest Common Factor of Numerators i.e. GCF of 998,226 is 2 .
LCM of Denominators means LCM of 51,9027 as per the given fractions.
LCM of 51,9027 is 9027 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 998,226
2 | 998, 226 |
499, 113 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 998,226 . The biggest common factor number is the GCF number.
So the greatest common factor 998,226 is 2.
Lets's calculate LCM of 51,9027
3 | 51, 9027 |
17 | 17, 3009 |
1, 177 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 177 = 9027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9027
Therefore, the GCF of Fractions 998/51,226/9027 is 2/9027
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 51,9027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,9027) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(51,9027) x common factors =51 x 1 = 51
LCM(51,9027) = ( 51 × 9027 ) / 51
LCM(51,9027) = 460377 / 51
LCM(51,9027) = 9027
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 998/51, 226/9027?
Answer: GCF of Numerators as per given numbers 998/51, 226/9027 is
GCF of Numerators i.e. for 998,226 is 2
LCM of denominators i.e. for 51,9027 is 9027.
Thus, GCF of Fractions is 2/9027.Finally, GCF of Fractions for 998/51, 226/9027 is 2/9027.