Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 822/9467,903/4990
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 822,903
Greatest Common Factor of Numerators i.e. GCF of 822,903 is 3 .
LCM of Denominators means LCM of 9467,4990 as per the given fractions.
LCM of 9467,4990 is 47240330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 822,903
3 | 822, 903 |
274, 301 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 822,903 . The biggest common factor number is the GCF number.
So the greatest common factor 822,903 is 3.
Lets's calculate LCM of 9467,4990
Given numbers has no common factors except 1. So, there LCM is their product i.e 47240330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47240330
Therefore, the GCF of Fractions 822/9467,903/4990 is 3/47240330
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 9467,4990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9467,4990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9467,4990) x common factors =1 x 1 = 1
LCM(9467,4990) = ( 9467 × 4990 ) / 1
LCM(9467,4990) = 47240330 / 1
LCM(9467,4990) = 47240330
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 822/9467, 903/4990?
Answer: GCF of Numerators as per given numbers 822/9467, 903/4990 is
GCF of Numerators i.e. for 822,903 is 3
LCM of denominators i.e. for 9467,4990 is 47240330.
Thus, GCF of Fractions is 3/47240330.Finally, GCF of Fractions for 822/9467, 903/4990 is 3/47240330.