Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 166/9316,106/3971
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 166,106
Greatest Common Factor of Numerators i.e. GCF of 166,106 is 2 .
LCM of Denominators means LCM of 9316,3971 as per the given fractions.
LCM of 9316,3971 is 36993836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 166,106
2 | 166, 106 |
83, 53 |
∴ 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 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 166,106 . The biggest common factor number is the GCF number.
So the greatest common factor 166,106 is 2.
Lets's calculate LCM of 9316,3971
Given numbers has no common factors except 1. So, there LCM is their product i.e 36993836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36993836
Therefore, the GCF of Fractions 166/9316,106/3971 is 2/36993836
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 9316,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9316,3971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9316,3971) x common factors =1 x 1 = 1
LCM(9316,3971) = ( 9316 × 3971 ) / 1
LCM(9316,3971) = 36993836 / 1
LCM(9316,3971) = 36993836
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 166/9316, 106/3971?
Answer: GCF of Numerators as per given numbers 166/9316, 106/3971 is
GCF of Numerators i.e. for 166,106 is 2
LCM of denominators i.e. for 9316,3971 is 36993836.
Thus, GCF of Fractions is 2/36993836.Finally, GCF of Fractions for 166/9316, 106/3971 is 2/36993836.