Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/42,448/28,198/168
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 56,448,198
Greatest Common Factor of Numerators i.e. GCF of 56,448,198 is 2 .
LCM of Denominators means LCM of 42,28,168 as per the given fractions.
LCM of 42,28,168 is 168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,448,198
2 | 56, 448, 198 |
28, 224, 99 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 56,448,198 . The biggest common factor number is the GCF number.
So the greatest common factor 56,448,198 is 2.
Lets's calculate LCM of 42,28,168
2 | 42, 28, 168 |
2 | 21, 14, 84 |
3 | 21, 7, 42 |
7 | 7, 7, 14 |
1, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 2 = 168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168
Therefore, the GCF of Fractions 56/42,448/28,198/168 is 2/168
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 42,28,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,28,168) = 14
common factors(in case of two or more numbers have common factors) = 84
GCF(42,28,168) x common factors =14 x 84 = 1176
LCM(42,28,168) = ( 42 × 28 × 168 ) / 1176
LCM(42,28,168) = 197568 / 1176
LCM(42,28,168) = 168
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 56/42, 448/28, 198/168?
Answer: GCF of Numerators as per given numbers 56/42, 448/28, 198/168 is
GCF of Numerators i.e. for 56,448,198 is 2
LCM of denominators i.e. for 42,28,168 is 168.
Thus, GCF of Fractions is 2/168.Finally, GCF of Fractions for 56/42, 448/28, 198/168 is 2/168.