Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7406/189,3112/4103
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 7406,3112
Greatest Common Factor of Numerators i.e. GCF of 7406,3112 is 2 .
LCM of Denominators means LCM of 189,4103 as per the given fractions.
LCM of 189,4103 is 775467 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7406,3112
2 | 7406, 3112 |
3703, 1556 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7406
List of positive integer factors of 7406 that divides 7406 without a remainder.
1,2,7,14,23,46,161,322,529,1058,3703,7406
Factors of 3112
List of positive integer factors of 3112 that divides 3112 without a remainder.
1,2,4,8,389,778,1556,3112
Greatest Common Factor
We found the factors 7406,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 7406,3112 is 2.
Lets's calculate LCM of 189,4103
Given numbers has no common factors except 1. So, there LCM is their product i.e 775467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/775467
Therefore, the GCF of Fractions 7406/189,3112/4103 is 2/775467
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 189,4103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,4103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,4103) x common factors =1 x 1 = 1
LCM(189,4103) = ( 189 × 4103 ) / 1
LCM(189,4103) = 775467 / 1
LCM(189,4103) = 775467
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 7406/189, 3112/4103?
Answer: GCF of Numerators as per given numbers 7406/189, 3112/4103 is
GCF of Numerators i.e. for 7406,3112 is 2
LCM of denominators i.e. for 189,4103 is 775467.
Thus, GCF of Fractions is 2/775467.Finally, GCF of Fractions for 7406/189, 3112/4103 is 2/775467.