Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5133/964,3801/9241
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 5133,3801
Greatest Common Factor of Numerators i.e. GCF of 5133,3801 is 3 .
LCM of Denominators means LCM of 964,9241 as per the given fractions.
LCM of 964,9241 is 8908324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5133,3801
3 | 5133, 3801 |
1711, 1267 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5133
List of positive integer factors of 5133 that divides 5133 without a remainder.
1,3,29,59,87,177,1711,5133
Factors of 3801
List of positive integer factors of 3801 that divides 3801 without a remainder.
1,3,7,21,181,543,1267,3801
Greatest Common Factor
We found the factors 5133,3801 . The biggest common factor number is the GCF number.
So the greatest common factor 5133,3801 is 3.
Lets's calculate LCM of 964,9241
Given numbers has no common factors except 1. So, there LCM is their product i.e 8908324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8908324
Therefore, the GCF of Fractions 5133/964,3801/9241 is 3/8908324
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 964,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,9241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,9241) x common factors =1 x 1 = 1
LCM(964,9241) = ( 964 × 9241 ) / 1
LCM(964,9241) = 8908324 / 1
LCM(964,9241) = 8908324
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 5133/964, 3801/9241?
Answer: GCF of Numerators as per given numbers 5133/964, 3801/9241 is
GCF of Numerators i.e. for 5133,3801 is 3
LCM of denominators i.e. for 964,9241 is 8908324.
Thus, GCF of Fractions is 3/8908324.Finally, GCF of Fractions for 5133/964, 3801/9241 is 3/8908324.