Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/11,859/39,204/210
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 357,859,204
Greatest Common Factor of Numerators i.e. GCF of 357,859,204 is 1 .
LCM of Denominators means LCM of 11,39,210 as per the given fractions.
LCM of 11,39,210 is 30030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,859,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 357,859,204 . The biggest common factor number is the GCF number.
So the greatest common factor 357,859,204 is 1.
Lets's calculate LCM of 11,39,210
3 | 11, 39, 210 |
11, 13, 70 |
∴ So the LCM of the given numbers is 3 x 11 x 13 x 70 = 30030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30030
Therefore, the GCF of Fractions 357/11,859/39,204/210 is 1/30030
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 11,39,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,39,210) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(11,39,210) x common factors =1 x 3 = 3
LCM(11,39,210) = ( 11 × 39 × 210 ) / 3
LCM(11,39,210) = 90090 / 3
LCM(11,39,210) = 30030
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 357/11, 859/39, 204/210?
Answer: GCF of Numerators as per given numbers 357/11, 859/39, 204/210 is
GCF of Numerators i.e. for 357,859,204 is 1
LCM of denominators i.e. for 11,39,210 is 30030.
Thus, GCF of Fractions is 1/30030.Finally, GCF of Fractions for 357/11, 859/39, 204/210 is 1/30030.