Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/327,2/910
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 4,2
Greatest Common Factor of Numerators i.e. GCF of 4,2 is 2 .
LCM of Denominators means LCM of 327,910 as per the given fractions.
LCM of 327,910 is 297570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,2
2 | 4, 2 |
2, 1 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Greatest Common Factor
We found the factors 4,2 . The biggest common factor number is the GCF number.
So the greatest common factor 4,2 is 2.
Lets's calculate LCM of 327,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 297570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/297570
Therefore, the GCF of Fractions 4/327,2/910 is 2/297570
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 327,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,910) x common factors =1 x 1 = 1
LCM(327,910) = ( 327 × 910 ) / 1
LCM(327,910) = 297570 / 1
LCM(327,910) = 297570
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 4/327, 2/910?
Answer: GCF of Numerators as per given numbers 4/327, 2/910 is
GCF of Numerators i.e. for 4,2 is 2
LCM of denominators i.e. for 327,910 is 297570.
Thus, GCF of Fractions is 2/297570.Finally, GCF of Fractions for 4/327, 2/910 is 2/297570.