Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 300/879,160/718
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 300,160
Greatest Common Factor of Numerators i.e. GCF of 300,160 is 20 .
LCM of Denominators means LCM of 879,718 as per the given fractions.
LCM of 879,718 is 631122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 300,160
2 | 300, 160 |
2 | 150, 80 |
5 | 75, 40 |
15, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
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 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 300,160 . The biggest common factor number is the GCF number.
So the greatest common factor 300,160 is 20.
Lets's calculate LCM of 879,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 631122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/631122
Therefore, the GCF of Fractions 300/879,160/718 is 20/631122
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 879,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,718) x common factors =1 x 1 = 1
LCM(879,718) = ( 879 × 718 ) / 1
LCM(879,718) = 631122 / 1
LCM(879,718) = 631122
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 300/879, 160/718?
Answer: GCF of Numerators as per given numbers 300/879, 160/718 is
GCF of Numerators i.e. for 300,160 is 20
LCM of denominators i.e. for 879,718 is 631122.
Thus, GCF of Fractions is 20/631122.Finally, GCF of Fractions for 300/879, 160/718 is 20/631122.