Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/487,825/532
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 27,825
Greatest Common Factor of Numerators i.e. GCF of 27,825 is 3 .
LCM of Denominators means LCM of 487,532 as per the given fractions.
LCM of 487,532 is 259084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,825
3 | 27, 825 |
9, 275 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 27,825 . The biggest common factor number is the GCF number.
So the greatest common factor 27,825 is 3.
Lets's calculate LCM of 487,532
Given numbers has no common factors except 1. So, there LCM is their product i.e 259084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/259084
Therefore, the GCF of Fractions 27/487,825/532 is 3/259084
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 487,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,532) x common factors =1 x 1 = 1
LCM(487,532) = ( 487 × 532 ) / 1
LCM(487,532) = 259084 / 1
LCM(487,532) = 259084
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 27/487, 825/532?
Answer: GCF of Numerators as per given numbers 27/487, 825/532 is
GCF of Numerators i.e. for 27,825 is 3
LCM of denominators i.e. for 487,532 is 259084.
Thus, GCF of Fractions is 3/259084.Finally, GCF of Fractions for 27/487, 825/532 is 3/259084.