Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 617/27,259/72,313/48
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 617,259,313
Greatest Common Factor of Numerators i.e. GCF of 617,259,313 is 1 .
LCM of Denominators means LCM of 27,72,48 as per the given fractions.
LCM of 27,72,48 is 432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 617,259,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 617,259,313 . The biggest common factor number is the GCF number.
So the greatest common factor 617,259,313 is 1.
Lets's calculate LCM of 27,72,48
2 | 27, 72, 48 |
2 | 27, 36, 24 |
2 | 27, 18, 12 |
3 | 27, 9, 6 |
3 | 3, 9, 2 |
1, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 3 x 2 = 432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432
Therefore, the GCF of Fractions 617/27,259/72,313/48 is 1/432
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 27,72,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,72,48) = 3
common factors(in case of two or more numbers have common factors) = 72
GCF(27,72,48) x common factors =3 x 72 = 216
LCM(27,72,48) = ( 27 × 72 × 48 ) / 216
LCM(27,72,48) = 93312 / 216
LCM(27,72,48) = 432
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 617/27, 259/72, 313/48?
Answer: GCF of Numerators as per given numbers 617/27, 259/72, 313/48 is
GCF of Numerators i.e. for 617,259,313 is 1
LCM of denominators i.e. for 27,72,48 is 432.
Thus, GCF of Fractions is 1/432.Finally, GCF of Fractions for 617/27, 259/72, 313/48 is 1/432.