Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 300/91,646/1609
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 300,646
Greatest Common Factor of Numerators i.e. GCF of 300,646 is 2 .
LCM of Denominators means LCM of 91,1609 as per the given fractions.
LCM of 91,1609 is 146419 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 300,646
2 | 300, 646 |
150, 323 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 300,646 . The biggest common factor number is the GCF number.
So the greatest common factor 300,646 is 2.
Lets's calculate LCM of 91,1609
Given numbers has no common factors except 1. So, there LCM is their product i.e 146419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146419
Therefore, the GCF of Fractions 300/91,646/1609 is 2/146419
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 91,1609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,1609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,1609) x common factors =1 x 1 = 1
LCM(91,1609) = ( 91 × 1609 ) / 1
LCM(91,1609) = 146419 / 1
LCM(91,1609) = 146419
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 300/91, 646/1609?
Answer: GCF of Numerators as per given numbers 300/91, 646/1609 is
GCF of Numerators i.e. for 300,646 is 2
LCM of denominators i.e. for 91,1609 is 146419.
Thus, GCF of Fractions is 2/146419.Finally, GCF of Fractions for 300/91, 646/1609 is 2/146419.