Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 258/27,470/99,625/440
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 258,470,625
Greatest Common Factor of Numerators i.e. GCF of 258,470,625 is 1 .
LCM of Denominators means LCM of 27,99,440 as per the given fractions.
LCM of 27,99,440 is 11880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 258,470,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 258,470,625 . The biggest common factor number is the GCF number.
So the greatest common factor 258,470,625 is 1.
Lets's calculate LCM of 27,99,440
3 | 27, 99, 440 |
3 | 9, 33, 440 |
11 | 3, 11, 440 |
3, 1, 40 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 3 x 1 x 40 = 11880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11880
Therefore, the GCF of Fractions 258/27,470/99,625/440 is 1/11880
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 27,99,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,99,440) = 1
common factors(in case of two or more numbers have common factors) = 99
GCF(27,99,440) x common factors =1 x 99 = 99
LCM(27,99,440) = ( 27 × 99 × 440 ) / 99
LCM(27,99,440) = 1176120 / 99
LCM(27,99,440) = 11880
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 258/27, 470/99, 625/440?
Answer: GCF of Numerators as per given numbers 258/27, 470/99, 625/440 is
GCF of Numerators i.e. for 258,470,625 is 1
LCM of denominators i.e. for 27,99,440 is 11880.
Thus, GCF of Fractions is 1/11880.Finally, GCF of Fractions for 258/27, 470/99, 625/440 is 1/11880.