Use our free GCF of Fractions Calculator tool to compute the GCF of 1247/518, 5151/4885 i.e 1/2530430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1247/518, 5151/4885.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1247/518,5151/4885
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 1247/518,5151/4885, numerators are 1247,5151
Denominators are 518,4885
The GCF of 1247,5151 is 1 .
LCM of 518,4885 is 2530430.
The greatest common factor of 1247/518,5151/4885 = [GCF of 1247,5151]/[LCM of 518,4885]= 1/2530430
Therefore, the GCF of 1247/518,5151/4885 is 1/2530430.
To find the highest common factor of 1247,5151, we have to find the factors of both numbers and list the highest common factor.
The factors of 1247 are 1, 29, 43, 1247
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The HCF of 1247,5151 is 1.
Lets's calculate GCF of 1247,5151
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1247
:1,29,43,1247
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Greatest Common Factor
We found the factors 1247,5151 . The biggest common factor number is the GCF number.
So the greatest common factor 1247,5151 is 1.
Lets's calculate LCM of 518,4885
Given numbers has no common factors except 1. So, there LCM is their product i.e 2530430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2530430
Therefore, the GCF of Fractions 1247/518,5151/4885 is 1/2530430
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 518,4885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,4885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,4885) x common factors =1 x 1 = 1
LCM(518,4885) = ( 518 × 4885 ) / 1
LCM(518,4885) = 2530430 / 1
LCM(518,4885) = 2530430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1247,5151?
The HCF of 1247,5151 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 1247/518, 5151/4885?
Answer: GCF of Numerators as per given numbers 1247/518, 5151/4885 is
GCF of Numerators i.e. for 1247,5151 is 1
LCM of denominators i.e. for 518,4885 is 2530430.
Thus, GCF of Fractions is 1/2530430.Finally, GCF of Fractions for 1247/518, 5151/4885 is 1/2530430.