Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 166/899,300/930
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 166,300
Greatest Common Factor of Numerators i.e. GCF of 166,300 is 2 .
LCM of Denominators means LCM of 899,930 as per the given fractions.
LCM of 899,930 is 26970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 166,300
2 | 166, 300 |
83, 150 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 166,300 . The biggest common factor number is the GCF number.
So the greatest common factor 166,300 is 2.
Lets's calculate LCM of 899,930
31 | 899, 930 |
29, 30 |
∴ So the LCM of the given numbers is 31 x 29 x 30 = 26970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26970
Therefore, the GCF of Fractions 166/899,300/930 is 2/26970
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 899,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,930) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(899,930) x common factors =31 x 1 = 31
LCM(899,930) = ( 899 × 930 ) / 31
LCM(899,930) = 836070 / 31
LCM(899,930) = 26970
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 166/899, 300/930?
Answer: GCF of Numerators as per given numbers 166/899, 300/930 is
GCF of Numerators i.e. for 166,300 is 2
LCM of denominators i.e. for 899,930 is 26970.
Thus, GCF of Fractions is 2/26970.Finally, GCF of Fractions for 166/899, 300/930 is 2/26970.