Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/15,775/63,213/385
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 396,775,213
Greatest Common Factor of Numerators i.e. GCF of 396,775,213 is 1 .
LCM of Denominators means LCM of 15,63,385 as per the given fractions.
LCM of 15,63,385 is 3465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,775,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 396,775,213 . The biggest common factor number is the GCF number.
So the greatest common factor 396,775,213 is 1.
Lets's calculate LCM of 15,63,385
3 | 15, 63, 385 |
5 | 5, 21, 385 |
7 | 1, 21, 77 |
1, 3, 11 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 3 x 11 = 3465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3465
Therefore, the GCF of Fractions 396/15,775/63,213/385 is 1/3465
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 15,63,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,63,385) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(15,63,385) x common factors =1 x 105 = 105
LCM(15,63,385) = ( 15 × 63 × 385 ) / 105
LCM(15,63,385) = 363825 / 105
LCM(15,63,385) = 3465
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 396/15, 775/63, 213/385?
Answer: GCF of Numerators as per given numbers 396/15, 775/63, 213/385 is
GCF of Numerators i.e. for 396,775,213 is 1
LCM of denominators i.e. for 15,63,385 is 3465.
Thus, GCF of Fractions is 1/3465.Finally, GCF of Fractions for 396/15, 775/63, 213/385 is 1/3465.