Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/215,4510/821
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 450,4510
Greatest Common Factor of Numerators i.e. GCF of 450,4510 is 10 .
LCM of Denominators means LCM of 215,821 as per the given fractions.
LCM of 215,821 is 176515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,4510
2 | 450, 4510 |
5 | 225, 2255 |
45, 451 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 4510
List of positive integer factors of 4510 that divides 4510 without a remainder.
1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510
Greatest Common Factor
We found the factors 450,4510 . The biggest common factor number is the GCF number.
So the greatest common factor 450,4510 is 10.
Lets's calculate LCM of 215,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 176515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/176515
Therefore, the GCF of Fractions 450/215,4510/821 is 10/176515
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 215,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,821) x common factors =1 x 1 = 1
LCM(215,821) = ( 215 × 821 ) / 1
LCM(215,821) = 176515 / 1
LCM(215,821) = 176515
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 450/215, 4510/821?
Answer: GCF of Numerators as per given numbers 450/215, 4510/821 is
GCF of Numerators i.e. for 450,4510 is 10
LCM of denominators i.e. for 215,821 is 176515.
Thus, GCF of Fractions is 10/176515.Finally, GCF of Fractions for 450/215, 4510/821 is 10/176515.