Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1935/330,5670/381
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 1935,5670
Greatest Common Factor of Numerators i.e. GCF of 1935,5670 is 45 .
LCM of Denominators means LCM of 330,381 as per the given fractions.
LCM of 330,381 is 41910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1935,5670
3 | 1935, 5670 |
3 | 645, 1890 |
5 | 215, 630 |
43, 126 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Factors of 1935
List of positive integer factors of 1935 that divides 1935 without a remainder.
1,3,5,9,15,43,45,129,215,387,645,1935
Factors of 5670
List of positive integer factors of 5670 that divides 5670 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Greatest Common Factor
We found the factors 1935,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 1935,5670 is 45.
Lets's calculate LCM of 330,381
3 | 330, 381 |
110, 127 |
∴ So the LCM of the given numbers is 3 x 110 x 127 = 41910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/41910
Therefore, the GCF of Fractions 1935/330,5670/381 is 45/41910
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 330,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,381) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(330,381) x common factors =3 x 1 = 3
LCM(330,381) = ( 330 × 381 ) / 3
LCM(330,381) = 125730 / 3
LCM(330,381) = 41910
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 1935/330, 5670/381?
Answer: GCF of Numerators as per given numbers 1935/330, 5670/381 is
GCF of Numerators i.e. for 1935,5670 is 45
LCM of denominators i.e. for 330,381 is 41910.
Thus, GCF of Fractions is 45/41910.Finally, GCF of Fractions for 1935/330, 5670/381 is 45/41910.