Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 173/27,747/135
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 173,747
Greatest Common Factor of Numerators i.e. GCF of 173,747 is 1 .
LCM of Denominators means LCM of 27,135 as per the given fractions.
LCM of 27,135 is 135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 173,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 173,747 . The biggest common factor number is the GCF number.
So the greatest common factor 173,747 is 1.
Lets's calculate LCM of 27,135
3 | 27, 135 |
3 | 9, 45 |
3 | 3, 15 |
1, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 5 = 135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135
Therefore, the GCF of Fractions 173/27,747/135 is 1/135
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 27,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,135) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(27,135) x common factors =27 x 1 = 27
LCM(27,135) = ( 27 × 135 ) / 27
LCM(27,135) = 3645 / 27
LCM(27,135) = 135
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 173/27, 747/135?
Answer: GCF of Numerators as per given numbers 173/27, 747/135 is
GCF of Numerators i.e. for 173,747 is 1
LCM of denominators i.e. for 27,135 is 135.
Thus, GCF of Fractions is 1/135.Finally, GCF of Fractions for 173/27, 747/135 is 1/135.