Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9903/49,5031/579
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 9903,5031
Greatest Common Factor of Numerators i.e. GCF of 9903,5031 is 3 .
LCM of Denominators means LCM of 49,579 as per the given fractions.
LCM of 49,579 is 28371 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9903,5031
3 | 9903, 5031 |
3301, 1677 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9903
List of positive integer factors of 9903 that divides 9903 without a remainder.
1,3,3301,9903
Factors of 5031
List of positive integer factors of 5031 that divides 5031 without a remainder.
1,3,9,13,39,43,117,129,387,559,1677,5031
Greatest Common Factor
We found the factors 9903,5031 . The biggest common factor number is the GCF number.
So the greatest common factor 9903,5031 is 3.
Lets's calculate LCM of 49,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 28371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28371
Therefore, the GCF of Fractions 9903/49,5031/579 is 3/28371
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 49,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,579) x common factors =1 x 1 = 1
LCM(49,579) = ( 49 × 579 ) / 1
LCM(49,579) = 28371 / 1
LCM(49,579) = 28371
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 9903/49, 5031/579?
Answer: GCF of Numerators as per given numbers 9903/49, 5031/579 is
GCF of Numerators i.e. for 9903,5031 is 3
LCM of denominators i.e. for 49,579 is 28371.
Thus, GCF of Fractions is 3/28371.Finally, GCF of Fractions for 9903/49, 5031/579 is 3/28371.