Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/18,950/6626
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 388,950
Greatest Common Factor of Numerators i.e. GCF of 388,950 is 2 .
LCM of Denominators means LCM of 18,6626 as per the given fractions.
LCM of 18,6626 is 59634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 388,950
2 | 388, 950 |
194, 475 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 388,950 . The biggest common factor number is the GCF number.
So the greatest common factor 388,950 is 2.
Lets's calculate LCM of 18,6626
2 | 18, 6626 |
9, 3313 |
∴ So the LCM of the given numbers is 2 x 9 x 3313 = 59634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59634
Therefore, the GCF of Fractions 388/18,950/6626 is 2/59634
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 18,6626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,6626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,6626) x common factors =2 x 1 = 2
LCM(18,6626) = ( 18 × 6626 ) / 2
LCM(18,6626) = 119268 / 2
LCM(18,6626) = 59634
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 388/18, 950/6626?
Answer: GCF of Numerators as per given numbers 388/18, 950/6626 is
GCF of Numerators i.e. for 388,950 is 2
LCM of denominators i.e. for 18,6626 is 59634.
Thus, GCF of Fractions is 2/59634.Finally, GCF of Fractions for 388/18, 950/6626 is 2/59634.