Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/43,433/60,470/903
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 897,433,470
Greatest Common Factor of Numerators i.e. GCF of 897,433,470 is 1 .
LCM of Denominators means LCM of 43,60,903 as per the given fractions.
LCM of 43,60,903 is 18060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 897,433,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 897,433,470 . The biggest common factor number is the GCF number.
So the greatest common factor 897,433,470 is 1.
Lets's calculate LCM of 43,60,903
3 | 43, 60, 903 |
43 | 43, 20, 301 |
1, 20, 7 |
∴ So the LCM of the given numbers is 3 x 43 x 1 x 20 x 7 = 18060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18060
Therefore, the GCF of Fractions 897/43,433/60,470/903 is 1/18060
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 43,60,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,60,903) = 1
common factors(in case of two or more numbers have common factors) = 129
GCF(43,60,903) x common factors =1 x 129 = 129
LCM(43,60,903) = ( 43 × 60 × 903 ) / 129
LCM(43,60,903) = 2329740 / 129
LCM(43,60,903) = 18060
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 897/43, 433/60, 470/903?
Answer: GCF of Numerators as per given numbers 897/43, 433/60, 470/903 is
GCF of Numerators i.e. for 897,433,470 is 1
LCM of denominators i.e. for 43,60,903 is 18060.
Thus, GCF of Fractions is 1/18060.Finally, GCF of Fractions for 897/43, 433/60, 470/903 is 1/18060.