Use our free GCF of Fractions Calculator tool to compute the GCF of 2487/190, 2417/9119 i.e 1/1732610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2487/190, 2417/9119.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2487/190,2417/9119
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2487/190,2417/9119, numerators are 2487,2417
Denominators are 190,9119
The GCF of 2487,2417 is 1 .
LCM of 190,9119 is 1732610.
The greatest common factor of 2487/190,2417/9119 = [GCF of 2487,2417]/[LCM of 190,9119]= 1/1732610
Therefore, the GCF of 2487/190,2417/9119 is 1/1732610.
To find the highest common factor of 2487,2417, we have to find the factors of both numbers and list the highest common factor.
The factors of 2487 are 1, 3, 829, 2487
The factors of 2417 are 1, 2417
The HCF of 2487,2417 is 1.
Lets's calculate GCF of 2487,2417
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2487
:1,3,829,2487
Now, list down the factors of 2417
:1,2417
Greatest Common Factor
We found the factors 2487,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 2487,2417 is 1.
Lets's calculate LCM of 190,9119
Given numbers has no common factors except 1. So, there LCM is their product i.e 1732610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732610
Therefore, the GCF of Fractions 2487/190,2417/9119 is 1/1732610
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 190,9119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,9119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(190,9119) x common factors =1 x 1 = 1
LCM(190,9119) = ( 190 × 9119 ) / 1
LCM(190,9119) = 1732610 / 1
LCM(190,9119) = 1732610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2487,2417?
The HCF of 2487,2417 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2487/190, 2417/9119?
Answer: GCF of Numerators as per given numbers 2487/190, 2417/9119 is
GCF of Numerators i.e. for 2487,2417 is 1
LCM of denominators i.e. for 190,9119 is 1732610.
Thus, GCF of Fractions is 1/1732610.Finally, GCF of Fractions for 2487/190, 2417/9119 is 1/1732610.