Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/568,8864/933
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 168,8864
Greatest Common Factor of Numerators i.e. GCF of 168,8864 is 8 .
LCM of Denominators means LCM of 568,933 as per the given fractions.
LCM of 568,933 is 529944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 168,8864
2 | 168, 8864 |
2 | 84, 4432 |
2 | 42, 2216 |
21, 1108 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 8864
List of positive integer factors of 8864 that divides 8864 without a remainder.
1,2,4,8,16,32,277,554,1108,2216,4432,8864
Greatest Common Factor
We found the factors 168,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 168,8864 is 8.
Lets's calculate LCM of 568,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 529944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/529944
Therefore, the GCF of Fractions 168/568,8864/933 is 8/529944
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 568,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,933) x common factors =1 x 1 = 1
LCM(568,933) = ( 568 × 933 ) / 1
LCM(568,933) = 529944 / 1
LCM(568,933) = 529944
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 168/568, 8864/933?
Answer: GCF of Numerators as per given numbers 168/568, 8864/933 is
GCF of Numerators i.e. for 168,8864 is 8
LCM of denominators i.e. for 568,933 is 529944.
Thus, GCF of Fractions is 8/529944.Finally, GCF of Fractions for 168/568, 8864/933 is 8/529944.