Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 106/10,364/2996
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 106,364
Greatest Common Factor of Numerators i.e. GCF of 106,364 is 2 .
LCM of Denominators means LCM of 10,2996 as per the given fractions.
LCM of 10,2996 is 14980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 106,364
2 | 106, 364 |
53, 182 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 106,364 . The biggest common factor number is the GCF number.
So the greatest common factor 106,364 is 2.
Lets's calculate LCM of 10,2996
2 | 10, 2996 |
5, 1498 |
∴ So the LCM of the given numbers is 2 x 5 x 1498 = 14980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14980
Therefore, the GCF of Fractions 106/10,364/2996 is 2/14980
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 10,2996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,2996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,2996) x common factors =2 x 1 = 2
LCM(10,2996) = ( 10 × 2996 ) / 2
LCM(10,2996) = 29960 / 2
LCM(10,2996) = 14980
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 106/10, 364/2996?
Answer: GCF of Numerators as per given numbers 106/10, 364/2996 is
GCF of Numerators i.e. for 106,364 is 2
LCM of denominators i.e. for 10,2996 is 14980.
Thus, GCF of Fractions is 2/14980.Finally, GCF of Fractions for 106/10, 364/2996 is 2/14980.