Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 684/127,162/593
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 684,162
Greatest Common Factor of Numerators i.e. GCF of 684,162 is 18 .
LCM of Denominators means LCM of 127,593 as per the given fractions.
LCM of 127,593 is 75311 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 684,162
2 | 684, 162 |
3 | 342, 81 |
3 | 114, 27 |
38, 9 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
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
Greatest Common Factor
We found the factors 684,162 . The biggest common factor number is the GCF number.
So the greatest common factor 684,162 is 18.
Lets's calculate LCM of 127,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 75311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/75311
Therefore, the GCF of Fractions 684/127,162/593 is 18/75311
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 127,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,593) x common factors =1 x 1 = 1
LCM(127,593) = ( 127 × 593 ) / 1
LCM(127,593) = 75311 / 1
LCM(127,593) = 75311
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 684/127, 162/593?
Answer: GCF of Numerators as per given numbers 684/127, 162/593 is
GCF of Numerators i.e. for 684,162 is 18
LCM of denominators i.e. for 127,593 is 75311.
Thus, GCF of Fractions is 18/75311.Finally, GCF of Fractions for 684/127, 162/593 is 18/75311.