Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 400/352,4224/855
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 400,4224
Greatest Common Factor of Numerators i.e. GCF of 400,4224 is 16 .
LCM of Denominators means LCM of 352,855 as per the given fractions.
LCM of 352,855 is 300960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 400,4224
2 | 400, 4224 |
2 | 200, 2112 |
2 | 100, 1056 |
2 | 50, 528 |
25, 264 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
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
Factors of 4224
List of positive integer factors of 4224 that divides 4224 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224
Greatest Common Factor
We found the factors 400,4224 . The biggest common factor number is the GCF number.
So the greatest common factor 400,4224 is 16.
Lets's calculate LCM of 352,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 300960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/300960
Therefore, the GCF of Fractions 400/352,4224/855 is 16/300960
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 352,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,855) x common factors =1 x 1 = 1
LCM(352,855) = ( 352 × 855 ) / 1
LCM(352,855) = 300960 / 1
LCM(352,855) = 300960
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 400/352, 4224/855?
Answer: GCF of Numerators as per given numbers 400/352, 4224/855 is
GCF of Numerators i.e. for 400,4224 is 16
LCM of denominators i.e. for 352,855 is 300960.
Thus, GCF of Fractions is 16/300960.Finally, GCF of Fractions for 400/352, 4224/855 is 16/300960.