Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8084/735,6578/413
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 8084,6578
Greatest Common Factor of Numerators i.e. GCF of 8084,6578 is 2 .
LCM of Denominators means LCM of 735,413 as per the given fractions.
LCM of 735,413 is 43365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8084,6578
2 | 8084, 6578 |
4042, 3289 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8084
List of positive integer factors of 8084 that divides 8084 without a remainder.
1,2,4,43,47,86,94,172,188,2021,4042,8084
Factors of 6578
List of positive integer factors of 6578 that divides 6578 without a remainder.
1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Greatest Common Factor
We found the factors 8084,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 8084,6578 is 2.
Lets's calculate LCM of 735,413
7 | 735, 413 |
105, 59 |
∴ So the LCM of the given numbers is 7 x 105 x 59 = 43365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43365
Therefore, the GCF of Fractions 8084/735,6578/413 is 2/43365
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 735,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,413) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,413) x common factors =7 x 1 = 7
LCM(735,413) = ( 735 × 413 ) / 7
LCM(735,413) = 303555 / 7
LCM(735,413) = 43365
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 8084/735, 6578/413?
Answer: GCF of Numerators as per given numbers 8084/735, 6578/413 is
GCF of Numerators i.e. for 8084,6578 is 2
LCM of denominators i.e. for 735,413 is 43365.
Thus, GCF of Fractions is 2/43365.Finally, GCF of Fractions for 8084/735, 6578/413 is 2/43365.