Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5750/16,7168/896
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 5750,7168
Greatest Common Factor of Numerators i.e. GCF of 5750,7168 is 2 .
LCM of Denominators means LCM of 16,896 as per the given fractions.
LCM of 16,896 is 896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5750,7168
2 | 5750, 7168 |
2875, 3584 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5750
List of positive integer factors of 5750 that divides 5750 without a remainder.
1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Factors of 7168
List of positive integer factors of 7168 that divides 7168 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 5750,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 5750,7168 is 2.
Lets's calculate LCM of 16,896
2 | 16, 896 |
2 | 8, 448 |
2 | 4, 224 |
2 | 2, 112 |
1, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 56 = 896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/896
Therefore, the GCF of Fractions 5750/16,7168/896 is 2/896
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 16,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,896) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(16,896) x common factors =16 x 1 = 16
LCM(16,896) = ( 16 × 896 ) / 16
LCM(16,896) = 14336 / 16
LCM(16,896) = 896
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 5750/16, 7168/896?
Answer: GCF of Numerators as per given numbers 5750/16, 7168/896 is
GCF of Numerators i.e. for 5750,7168 is 2
LCM of denominators i.e. for 16,896 is 896.
Thus, GCF of Fractions is 2/896.Finally, GCF of Fractions for 5750/16, 7168/896 is 2/896.