Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/31,464/19,467/229
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 385,464,467
Greatest Common Factor of Numerators i.e. GCF of 385,464,467 is 1 .
LCM of Denominators means LCM of 31,19,229 as per the given fractions.
LCM of 31,19,229 is 134881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 385,464,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 385,464,467 . The biggest common factor number is the GCF number.
So the greatest common factor 385,464,467 is 1.
Lets's calculate LCM of 31,19,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 134881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134881
Therefore, the GCF of Fractions 385/31,464/19,467/229 is 1/134881
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 31,19,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,19,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,19,229) x common factors =1 x 1 = 1
LCM(31,19,229) = ( 31 × 19 × 229 ) / 1
LCM(31,19,229) = 134881 / 1
LCM(31,19,229) = 134881
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 385/31, 464/19, 467/229?
Answer: GCF of Numerators as per given numbers 385/31, 464/19, 467/229 is
GCF of Numerators i.e. for 385,464,467 is 1
LCM of denominators i.e. for 31,19,229 is 134881.
Thus, GCF of Fractions is 1/134881.Finally, GCF of Fractions for 385/31, 464/19, 467/229 is 1/134881.