Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4188/567,6153/996
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 4188,6153
Greatest Common Factor of Numerators i.e. GCF of 4188,6153 is 3 .
LCM of Denominators means LCM of 567,996 as per the given fractions.
LCM of 567,996 is 188244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4188,6153
3 | 4188, 6153 |
1396, 2051 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4188
List of positive integer factors of 4188 that divides 4188 without a remainder.
1,2,3,4,6,12,349,698,1047,1396,2094,4188
Factors of 6153
List of positive integer factors of 6153 that divides 6153 without a remainder.
1,3,7,21,293,879,2051,6153
Greatest Common Factor
We found the factors 4188,6153 . The biggest common factor number is the GCF number.
So the greatest common factor 4188,6153 is 3.
Lets's calculate LCM of 567,996
3 | 567, 996 |
189, 332 |
∴ So the LCM of the given numbers is 3 x 189 x 332 = 188244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/188244
Therefore, the GCF of Fractions 4188/567,6153/996 is 3/188244
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 567,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,996) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,996) x common factors =3 x 1 = 3
LCM(567,996) = ( 567 × 996 ) / 3
LCM(567,996) = 564732 / 3
LCM(567,996) = 188244
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 4188/567, 6153/996?
Answer: GCF of Numerators as per given numbers 4188/567, 6153/996 is
GCF of Numerators i.e. for 4188,6153 is 3
LCM of denominators i.e. for 567,996 is 188244.
Thus, GCF of Fractions is 3/188244.Finally, GCF of Fractions for 4188/567, 6153/996 is 3/188244.