Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5530/404,9023/731
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 5530,9023
Greatest Common Factor of Numerators i.e. GCF of 5530,9023 is 7 .
LCM of Denominators means LCM of 404,731 as per the given fractions.
LCM of 404,731 is 295324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5530,9023
7 | 5530, 9023 |
790, 1289 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 5530
List of positive integer factors of 5530 that divides 5530 without a remainder.
1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1,7,1289,9023
Greatest Common Factor
We found the factors 5530,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 5530,9023 is 7.
Lets's calculate LCM of 404,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 295324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/295324
Therefore, the GCF of Fractions 5530/404,9023/731 is 7/295324
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 404,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,731) x common factors =1 x 1 = 1
LCM(404,731) = ( 404 × 731 ) / 1
LCM(404,731) = 295324 / 1
LCM(404,731) = 295324
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 5530/404, 9023/731?
Answer: GCF of Numerators as per given numbers 5530/404, 9023/731 is
GCF of Numerators i.e. for 5530,9023 is 7
LCM of denominators i.e. for 404,731 is 295324.
Thus, GCF of Fractions is 7/295324.Finally, GCF of Fractions for 5530/404, 9023/731 is 7/295324.