Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6026/793,6638/9329
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 6026,6638
Greatest Common Factor of Numerators i.e. GCF of 6026,6638 is 2 .
LCM of Denominators means LCM of 793,9329 as per the given fractions.
LCM of 793,9329 is 7397897 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6026,6638
2 | 6026, 6638 |
3013, 3319 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6026
List of positive integer factors of 6026 that divides 6026 without a remainder.
1,2,23,46,131,262,3013,6026
Factors of 6638
List of positive integer factors of 6638 that divides 6638 without a remainder.
1,2,3319,6638
Greatest Common Factor
We found the factors 6026,6638 . The biggest common factor number is the GCF number.
So the greatest common factor 6026,6638 is 2.
Lets's calculate LCM of 793,9329
Given numbers has no common factors except 1. So, there LCM is their product i.e 7397897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7397897
Therefore, the GCF of Fractions 6026/793,6638/9329 is 2/7397897
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 793,9329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,9329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,9329) x common factors =1 x 1 = 1
LCM(793,9329) = ( 793 × 9329 ) / 1
LCM(793,9329) = 7397897 / 1
LCM(793,9329) = 7397897
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 6026/793, 6638/9329?
Answer: GCF of Numerators as per given numbers 6026/793, 6638/9329 is
GCF of Numerators i.e. for 6026,6638 is 2
LCM of denominators i.e. for 793,9329 is 7397897.
Thus, GCF of Fractions is 2/7397897.Finally, GCF of Fractions for 6026/793, 6638/9329 is 2/7397897.