Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 366/99,400/6802
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 366,400
Greatest Common Factor of Numerators i.e. GCF of 366,400 is 2 .
LCM of Denominators means LCM of 99,6802 as per the given fractions.
LCM of 99,6802 is 673398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 366,400
2 | 366, 400 |
183, 200 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 366,400 . The biggest common factor number is the GCF number.
So the greatest common factor 366,400 is 2.
Lets's calculate LCM of 99,6802
Given numbers has no common factors except 1. So, there LCM is their product i.e 673398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/673398
Therefore, the GCF of Fractions 366/99,400/6802 is 2/673398
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 99,6802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,6802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,6802) x common factors =1 x 1 = 1
LCM(99,6802) = ( 99 × 6802 ) / 1
LCM(99,6802) = 673398 / 1
LCM(99,6802) = 673398
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 366/99, 400/6802?
Answer: GCF of Numerators as per given numbers 366/99, 400/6802 is
GCF of Numerators i.e. for 366,400 is 2
LCM of denominators i.e. for 99,6802 is 673398.
Thus, GCF of Fractions is 2/673398.Finally, GCF of Fractions for 366/99, 400/6802 is 2/673398.