Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/228,132/289,193/509
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 659,132,193
Greatest Common Factor of Numerators i.e. GCF of 659,132,193 is 1 .
LCM of Denominators means LCM of 228,289,509 as per the given fractions.
LCM of 228,289,509 is 33539028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 659,132,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 659,132,193 . The biggest common factor number is the GCF number.
So the greatest common factor 659,132,193 is 1.
Lets's calculate LCM of 228,289,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 33539028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33539028
Therefore, the GCF of Fractions 659/228,132/289,193/509 is 1/33539028
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 228,289,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,289,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,289,509) x common factors =1 x 1 = 1
LCM(228,289,509) = ( 228 × 289 × 509 ) / 1
LCM(228,289,509) = 33539028 / 1
LCM(228,289,509) = 33539028
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 659/228, 132/289, 193/509?
Answer: GCF of Numerators as per given numbers 659/228, 132/289, 193/509 is
GCF of Numerators i.e. for 659,132,193 is 1
LCM of denominators i.e. for 228,289,509 is 33539028.
Thus, GCF of Fractions is 1/33539028.Finally, GCF of Fractions for 659/228, 132/289, 193/509 is 1/33539028.