Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8328/855,8259/585
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 8328,8259
Greatest Common Factor of Numerators i.e. GCF of 8328,8259 is 3 .
LCM of Denominators means LCM of 855,585 as per the given fractions.
LCM of 855,585 is 11115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8328,8259
3 | 8328, 8259 |
2776, 2753 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8328
List of positive integer factors of 8328 that divides 8328 without a remainder.
1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328
Factors of 8259
List of positive integer factors of 8259 that divides 8259 without a remainder.
1,3,2753,8259
Greatest Common Factor
We found the factors 8328,8259 . The biggest common factor number is the GCF number.
So the greatest common factor 8328,8259 is 3.
Lets's calculate LCM of 855,585
3 | 855, 585 |
3 | 285, 195 |
5 | 95, 65 |
19, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 19 x 13 = 11115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11115
Therefore, the GCF of Fractions 8328/855,8259/585 is 3/11115
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 855,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,585) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(855,585) x common factors =45 x 1 = 45
LCM(855,585) = ( 855 × 585 ) / 45
LCM(855,585) = 500175 / 45
LCM(855,585) = 11115
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 8328/855, 8259/585?
Answer: GCF of Numerators as per given numbers 8328/855, 8259/585 is
GCF of Numerators i.e. for 8328,8259 is 3
LCM of denominators i.e. for 855,585 is 11115.
Thus, GCF of Fractions is 3/11115.Finally, GCF of Fractions for 8328/855, 8259/585 is 3/11115.