Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9957/21,6303/479
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 9957,6303
Greatest Common Factor of Numerators i.e. GCF of 9957,6303 is 3 .
LCM of Denominators means LCM of 21,479 as per the given fractions.
LCM of 21,479 is 10059 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9957,6303
3 | 9957, 6303 |
3319, 2101 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9957
List of positive integer factors of 9957 that divides 9957 without a remainder.
1,3,3319,9957
Factors of 6303
List of positive integer factors of 6303 that divides 6303 without a remainder.
1,3,11,33,191,573,2101,6303
Greatest Common Factor
We found the factors 9957,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 9957,6303 is 3.
Lets's calculate LCM of 21,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 10059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10059
Therefore, the GCF of Fractions 9957/21,6303/479 is 3/10059
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 21,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,479) x common factors =1 x 1 = 1
LCM(21,479) = ( 21 × 479 ) / 1
LCM(21,479) = 10059 / 1
LCM(21,479) = 10059
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 9957/21, 6303/479?
Answer: GCF of Numerators as per given numbers 9957/21, 6303/479 is
GCF of Numerators i.e. for 9957,6303 is 3
LCM of denominators i.e. for 21,479 is 10059.
Thus, GCF of Fractions is 3/10059.Finally, GCF of Fractions for 9957/21, 6303/479 is 3/10059.