Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/802,8500/873
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 240,8500
Greatest Common Factor of Numerators i.e. GCF of 240,8500 is 20 .
LCM of Denominators means LCM of 802,873 as per the given fractions.
LCM of 802,873 is 700146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,8500
2 | 240, 8500 |
2 | 120, 4250 |
5 | 60, 2125 |
12, 425 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 8500
List of positive integer factors of 8500 that divides 8500 without a remainder.
1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 240,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 240,8500 is 20.
Lets's calculate LCM of 802,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 700146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/700146
Therefore, the GCF of Fractions 240/802,8500/873 is 20/700146
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 802,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,873) x common factors =1 x 1 = 1
LCM(802,873) = ( 802 × 873 ) / 1
LCM(802,873) = 700146 / 1
LCM(802,873) = 700146
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 240/802, 8500/873?
Answer: GCF of Numerators as per given numbers 240/802, 8500/873 is
GCF of Numerators i.e. for 240,8500 is 20
LCM of denominators i.e. for 802,873 is 700146.
Thus, GCF of Fractions is 20/700146.Finally, GCF of Fractions for 240/802, 8500/873 is 20/700146.