Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/759,252/189
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 162,252
Greatest Common Factor of Numerators i.e. GCF of 162,252 is 18 .
LCM of Denominators means LCM of 759,189 as per the given fractions.
LCM of 759,189 is 47817 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,252
2 | 162, 252 |
3 | 81, 126 |
3 | 27, 42 |
9, 14 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 162,252 . The biggest common factor number is the GCF number.
So the greatest common factor 162,252 is 18.
Lets's calculate LCM of 759,189
3 | 759, 189 |
253, 63 |
∴ So the LCM of the given numbers is 3 x 253 x 63 = 47817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/47817
Therefore, the GCF of Fractions 162/759,252/189 is 18/47817
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 759,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,189) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,189) x common factors =3 x 1 = 3
LCM(759,189) = ( 759 × 189 ) / 3
LCM(759,189) = 143451 / 3
LCM(759,189) = 47817
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 162/759, 252/189?
Answer: GCF of Numerators as per given numbers 162/759, 252/189 is
GCF of Numerators i.e. for 162,252 is 18
LCM of denominators i.e. for 759,189 is 47817.
Thus, GCF of Fractions is 18/47817.Finally, GCF of Fractions for 162/759, 252/189 is 18/47817.