Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/485,655/821,225/821
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 40,655,225
Greatest Common Factor of Numerators i.e. GCF of 40,655,225 is 5 .
LCM of Denominators means LCM of 485,821,821 as per the given fractions.
LCM of 485,821,821 is 398185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,655,225
5 | 40, 655, 225 |
8, 131, 45 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 40,655,225 . The biggest common factor number is the GCF number.
So the greatest common factor 40,655,225 is 5.
Lets's calculate LCM of 485,821,821
821 | 485, 821, 821 |
485, 1, 1 |
∴ So the LCM of the given numbers is 821 x 485 x 1 x 1 = 398185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/398185
Therefore, the GCF of Fractions 40/485,655/821,225/821 is 5/398185
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 485,821,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,821,821) = 1
common factors(in case of two or more numbers have common factors) = 821
GCF(485,821,821) x common factors =1 x 821 = 821
LCM(485,821,821) = ( 485 × 821 × 821 ) / 821
LCM(485,821,821) = 326909885 / 821
LCM(485,821,821) = 398185
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 40/485, 655/821, 225/821?
Answer: GCF of Numerators as per given numbers 40/485, 655/821, 225/821 is
GCF of Numerators i.e. for 40,655,225 is 5
LCM of denominators i.e. for 485,821,821 is 398185.
Thus, GCF of Fractions is 5/398185.Finally, GCF of Fractions for 40/485, 655/821, 225/821 is 5/398185.