Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1063/912,2455/5997
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 1063,2455
Greatest Common Factor of Numerators i.e. GCF of 1063,2455 is 1 .
LCM of Denominators means LCM of 912,5997 as per the given fractions.
LCM of 912,5997 is 1823088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1063,2455
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1063
List of positive integer factors of 1063 that divides 1063 without a remainder.
1,1063
Factors of 2455
List of positive integer factors of 2455 that divides 2455 without a remainder.
1,5,491,2455
Greatest Common Factor
We found the factors 1063,2455 . The biggest common factor number is the GCF number.
So the greatest common factor 1063,2455 is 1.
Lets's calculate LCM of 912,5997
3 | 912, 5997 |
304, 1999 |
∴ So the LCM of the given numbers is 3 x 304 x 1999 = 1823088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1823088
Therefore, the GCF of Fractions 1063/912,2455/5997 is 1/1823088
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 912,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,5997) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(912,5997) x common factors =3 x 1 = 3
LCM(912,5997) = ( 912 × 5997 ) / 3
LCM(912,5997) = 5469264 / 3
LCM(912,5997) = 1823088
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 1063/912, 2455/5997?
Answer: GCF of Numerators as per given numbers 1063/912, 2455/5997 is
GCF of Numerators i.e. for 1063,2455 is 1
LCM of denominators i.e. for 912,5997 is 1823088.
Thus, GCF of Fractions is 1/1823088.Finally, GCF of Fractions for 1063/912, 2455/5997 is 1/1823088.