Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/315,990/435
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 66,990
Greatest Common Factor of Numerators i.e. GCF of 66,990 is 66 .
LCM of Denominators means LCM of 315,435 as per the given fractions.
LCM of 315,435 is 9135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,990
2 | 66, 990 |
3 | 33, 495 |
11 | 11, 165 |
1, 15 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 66,990 . The biggest common factor number is the GCF number.
So the greatest common factor 66,990 is 66.
Lets's calculate LCM of 315,435
3 | 315, 435 |
5 | 105, 145 |
21, 29 |
∴ So the LCM of the given numbers is 3 x 5 x 21 x 29 = 9135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/9135
Therefore, the GCF of Fractions 66/315,990/435 is 66/9135
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 315,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,435) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(315,435) x common factors =15 x 1 = 15
LCM(315,435) = ( 315 × 435 ) / 15
LCM(315,435) = 137025 / 15
LCM(315,435) = 9135
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 66/315, 990/435?
Answer: GCF of Numerators as per given numbers 66/315, 990/435 is
GCF of Numerators i.e. for 66,990 is 66
LCM of denominators i.e. for 315,435 is 9135.
Thus, GCF of Fractions is 66/9135.Finally, GCF of Fractions for 66/315, 990/435 is 66/9135.