Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4107/124,3162/911
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 4107,3162
Greatest Common Factor of Numerators i.e. GCF of 4107,3162 is 3 .
LCM of Denominators means LCM of 124,911 as per the given fractions.
LCM of 124,911 is 112964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4107,3162
3 | 4107, 3162 |
1369, 1054 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4107
List of positive integer factors of 4107 that divides 4107 without a remainder.
1,3,37,111,1369,4107
Factors of 3162
List of positive integer factors of 3162 that divides 3162 without a remainder.
1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 4107,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,3162 is 3.
Lets's calculate LCM of 124,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 112964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/112964
Therefore, the GCF of Fractions 4107/124,3162/911 is 3/112964
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 124,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,911) x common factors =1 x 1 = 1
LCM(124,911) = ( 124 × 911 ) / 1
LCM(124,911) = 112964 / 1
LCM(124,911) = 112964
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 4107/124, 3162/911?
Answer: GCF of Numerators as per given numbers 4107/124, 3162/911 is
GCF of Numerators i.e. for 4107,3162 is 3
LCM of denominators i.e. for 124,911 is 112964.
Thus, GCF of Fractions is 3/112964.Finally, GCF of Fractions for 4107/124, 3162/911 is 3/112964.