Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/99,435/2251
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 315,435
Greatest Common Factor of Numerators i.e. GCF of 315,435 is 15 .
LCM of Denominators means LCM of 99,2251 as per the given fractions.
LCM of 99,2251 is 222849 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 315,435
3 | 315, 435 |
5 | 105, 145 |
21, 29 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 315,435 . The biggest common factor number is the GCF number.
So the greatest common factor 315,435 is 15.
Lets's calculate LCM of 99,2251
Given numbers has no common factors except 1. So, there LCM is their product i.e 222849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/222849
Therefore, the GCF of Fractions 315/99,435/2251 is 15/222849
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 99,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,2251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,2251) x common factors =1 x 1 = 1
LCM(99,2251) = ( 99 × 2251 ) / 1
LCM(99,2251) = 222849 / 1
LCM(99,2251) = 222849
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 315/99, 435/2251?
Answer: GCF of Numerators as per given numbers 315/99, 435/2251 is
GCF of Numerators i.e. for 315,435 is 15
LCM of denominators i.e. for 99,2251 is 222849.
Thus, GCF of Fractions is 15/222849.Finally, GCF of Fractions for 315/99, 435/2251 is 15/222849.