Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6596/315,3860/9093
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 6596,3860
Greatest Common Factor of Numerators i.e. GCF of 6596,3860 is 4 .
LCM of Denominators means LCM of 315,9093 as per the given fractions.
LCM of 315,9093 is 136395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6596,3860
2 | 6596, 3860 |
2 | 3298, 1930 |
1649, 965 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6596
List of positive integer factors of 6596 that divides 6596 without a remainder.
1,2,4,17,34,68,97,194,388,1649,3298,6596
Factors of 3860
List of positive integer factors of 3860 that divides 3860 without a remainder.
1,2,4,5,10,20,193,386,772,965,1930,3860
Greatest Common Factor
We found the factors 6596,3860 . The biggest common factor number is the GCF number.
So the greatest common factor 6596,3860 is 4.
Lets's calculate LCM of 315,9093
3 | 315, 9093 |
7 | 105, 3031 |
15, 433 |
∴ So the LCM of the given numbers is 3 x 7 x 15 x 433 = 136395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136395
Therefore, the GCF of Fractions 6596/315,3860/9093 is 4/136395
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 315,9093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,9093) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(315,9093) x common factors =21 x 1 = 21
LCM(315,9093) = ( 315 × 9093 ) / 21
LCM(315,9093) = 2864295 / 21
LCM(315,9093) = 136395
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 6596/315, 3860/9093?
Answer: GCF of Numerators as per given numbers 6596/315, 3860/9093 is
GCF of Numerators i.e. for 6596,3860 is 4
LCM of denominators i.e. for 315,9093 is 136395.
Thus, GCF of Fractions is 4/136395.Finally, GCF of Fractions for 6596/315, 3860/9093 is 4/136395.