Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 447/898,9303/171
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 447,9303
Greatest Common Factor of Numerators i.e. GCF of 447,9303 is 3 .
LCM of Denominators means LCM of 898,171 as per the given fractions.
LCM of 898,171 is 153558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 447,9303
3 | 447, 9303 |
149, 3101 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 9303
List of positive integer factors of 9303 that divides 9303 without a remainder.
1,3,7,21,443,1329,3101,9303
Greatest Common Factor
We found the factors 447,9303 . The biggest common factor number is the GCF number.
So the greatest common factor 447,9303 is 3.
Lets's calculate LCM of 898,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 153558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/153558
Therefore, the GCF of Fractions 447/898,9303/171 is 3/153558
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 898,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,171) x common factors =1 x 1 = 1
LCM(898,171) = ( 898 × 171 ) / 1
LCM(898,171) = 153558 / 1
LCM(898,171) = 153558
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 447/898, 9303/171?
Answer: GCF of Numerators as per given numbers 447/898, 9303/171 is
GCF of Numerators i.e. for 447,9303 is 3
LCM of denominators i.e. for 898,171 is 153558.
Thus, GCF of Fractions is 3/153558.Finally, GCF of Fractions for 447/898, 9303/171 is 3/153558.