Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 120/470,900/482
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 120,900
Greatest Common Factor of Numerators i.e. GCF of 120,900 is 60 .
LCM of Denominators means LCM of 470,482 as per the given fractions.
LCM of 470,482 is 113270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 120,900
2 | 120, 900 |
2 | 60, 450 |
3 | 30, 225 |
5 | 10, 75 |
2, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 120,900 . The biggest common factor number is the GCF number.
So the greatest common factor 120,900 is 60.
Lets's calculate LCM of 470,482
2 | 470, 482 |
235, 241 |
∴ So the LCM of the given numbers is 2 x 235 x 241 = 113270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/113270
Therefore, the GCF of Fractions 120/470,900/482 is 60/113270
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 470,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,482) x common factors =2 x 1 = 2
LCM(470,482) = ( 470 × 482 ) / 2
LCM(470,482) = 226540 / 2
LCM(470,482) = 113270
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 120/470, 900/482?
Answer: GCF of Numerators as per given numbers 120/470, 900/482 is
GCF of Numerators i.e. for 120,900 is 60
LCM of denominators i.e. for 470,482 is 113270.
Thus, GCF of Fractions is 60/113270.Finally, GCF of Fractions for 120/470, 900/482 is 60/113270.