Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 359/89,380/55,466/723
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 359,380,466
Greatest Common Factor of Numerators i.e. GCF of 359,380,466 is 1 .
LCM of Denominators means LCM of 89,55,723 as per the given fractions.
LCM of 89,55,723 is 3539085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 359,380,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 359,380,466 . The biggest common factor number is the GCF number.
So the greatest common factor 359,380,466 is 1.
Lets's calculate LCM of 89,55,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 3539085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3539085
Therefore, the GCF of Fractions 359/89,380/55,466/723 is 1/3539085
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 89,55,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,55,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,55,723) x common factors =1 x 1 = 1
LCM(89,55,723) = ( 89 × 55 × 723 ) / 1
LCM(89,55,723) = 3539085 / 1
LCM(89,55,723) = 3539085
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 359/89, 380/55, 466/723?
Answer: GCF of Numerators as per given numbers 359/89, 380/55, 466/723 is
GCF of Numerators i.e. for 359,380,466 is 1
LCM of denominators i.e. for 89,55,723 is 3539085.
Thus, GCF of Fractions is 1/3539085.Finally, GCF of Fractions for 359/89, 380/55, 466/723 is 1/3539085.