Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6468/222,4106/193
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 6468,4106
Greatest Common Factor of Numerators i.e. GCF of 6468,4106 is 2 .
LCM of Denominators means LCM of 222,193 as per the given fractions.
LCM of 222,193 is 42846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6468,4106
2 | 6468, 4106 |
3234, 2053 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6468
List of positive integer factors of 6468 that divides 6468 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468
Factors of 4106
List of positive integer factors of 4106 that divides 4106 without a remainder.
1,2,2053,4106
Greatest Common Factor
We found the factors 6468,4106 . The biggest common factor number is the GCF number.
So the greatest common factor 6468,4106 is 2.
Lets's calculate LCM of 222,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 42846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42846
Therefore, the GCF of Fractions 6468/222,4106/193 is 2/42846
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 222,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,193) x common factors =1 x 1 = 1
LCM(222,193) = ( 222 × 193 ) / 1
LCM(222,193) = 42846 / 1
LCM(222,193) = 42846
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 6468/222, 4106/193?
Answer: GCF of Numerators as per given numbers 6468/222, 4106/193 is
GCF of Numerators i.e. for 6468,4106 is 2
LCM of denominators i.e. for 222,193 is 42846.
Thus, GCF of Fractions is 2/42846.Finally, GCF of Fractions for 6468/222, 4106/193 is 2/42846.