Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/593,258/524
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 927,258
Greatest Common Factor of Numerators i.e. GCF of 927,258 is 3 .
LCM of Denominators means LCM of 593,524 as per the given fractions.
LCM of 593,524 is 310732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,258
3 | 927, 258 |
309, 86 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 927,258 . The biggest common factor number is the GCF number.
So the greatest common factor 927,258 is 3.
Lets's calculate LCM of 593,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 310732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/310732
Therefore, the GCF of Fractions 927/593,258/524 is 3/310732
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 593,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,524) x common factors =1 x 1 = 1
LCM(593,524) = ( 593 × 524 ) / 1
LCM(593,524) = 310732 / 1
LCM(593,524) = 310732
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 927/593, 258/524?
Answer: GCF of Numerators as per given numbers 927/593, 258/524 is
GCF of Numerators i.e. for 927,258 is 3
LCM of denominators i.e. for 593,524 is 310732.
Thus, GCF of Fractions is 3/310732.Finally, GCF of Fractions for 927/593, 258/524 is 3/310732.