Use our free GCF of Fractions Calculator tool to compute the GCF of 8995/574, 3986/7858 i.e 1/2255246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8995/574, 3986/7858.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8995/574,3986/7858
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 8995/574,3986/7858, numerators are 8995,3986
Denominators are 574,7858
The GCF of 8995,3986 is 1 .
LCM of 574,7858 is 2255246.
The greatest common factor of 8995/574,3986/7858 = [GCF of 8995,3986]/[LCM of 574,7858]= 1/2255246
Therefore, the GCF of 8995/574,3986/7858 is 1/2255246.
To find the highest common factor of 8995,3986, we have to find the factors of both numbers and list the highest common factor.
The factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995
The factors of 3986 are 1, 2, 1993, 3986
The HCF of 8995,3986 is 1.
Lets's calculate GCF of 8995,3986
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8995
:1,5,7,35,257,1285,1799,8995
Now, list down the factors of 3986
:1,2,1993,3986
Greatest Common Factor
We found the factors 8995,3986 . The biggest common factor number is the GCF number.
So the greatest common factor 8995,3986 is 1.
Lets's calculate LCM of 574,7858
2 | 574, 7858 |
287, 3929 |
∴ So the LCM of the given numbers is 2 x 287 x 3929 = 2255246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2255246
Therefore, the GCF of Fractions 8995/574,3986/7858 is 1/2255246
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 574,7858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7858) x common factors =2 x 1 = 2
LCM(574,7858) = ( 574 × 7858 ) / 2
LCM(574,7858) = 4510492 / 2
LCM(574,7858) = 2255246
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8995,3986?
The HCF of 8995,3986 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 8995/574, 3986/7858?
Answer: GCF of Numerators as per given numbers 8995/574, 3986/7858 is
GCF of Numerators i.e. for 8995,3986 is 1
LCM of denominators i.e. for 574,7858 is 2255246.
Thus, GCF of Fractions is 1/2255246.Finally, GCF of Fractions for 8995/574, 3986/7858 is 1/2255246.