Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/331,489/427
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 30,489
Greatest Common Factor of Numerators i.e. GCF of 30,489 is 3 .
LCM of Denominators means LCM of 331,427 as per the given fractions.
LCM of 331,427 is 141337 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,489
3 | 30, 489 |
10, 163 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 30,489 . The biggest common factor number is the GCF number.
So the greatest common factor 30,489 is 3.
Lets's calculate LCM of 331,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 141337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141337
Therefore, the GCF of Fractions 30/331,489/427 is 3/141337
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 331,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,427) x common factors =1 x 1 = 1
LCM(331,427) = ( 331 × 427 ) / 1
LCM(331,427) = 141337 / 1
LCM(331,427) = 141337
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 30/331, 489/427?
Answer: GCF of Numerators as per given numbers 30/331, 489/427 is
GCF of Numerators i.e. for 30,489 is 3
LCM of denominators i.e. for 331,427 is 141337.
Thus, GCF of Fractions is 3/141337.Finally, GCF of Fractions for 30/331, 489/427 is 3/141337.