Use our free GCF of Fractions Calculator tool to compute the GCF of 827/105, 397/897 i.e 1/31395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 827/105, 397/897.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 827/105,397/897
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 827/105,397/897, numerators are 827,397
Denominators are 105,897
The GCF of 827,397 is 1 .
LCM of 105,897 is 31395.
The greatest common factor of 827/105,397/897 = [GCF of 827,397]/[LCM of 105,897]= 1/31395
Therefore, the GCF of 827/105,397/897 is 1/31395.
To find the highest common factor of 827,397, we have to find the factors of both numbers and list the highest common factor.
The factors of 827 are 1, 827
The factors of 397 are 1, 397
The HCF of 827,397 is 1.
Lets's calculate GCF of 827,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 827
:1,827
Now, list down the factors of 397
:1,397
Greatest Common Factor
We found the factors 827,397 . The biggest common factor number is the GCF number.
So the greatest common factor 827,397 is 1.
Lets's calculate LCM of 105,897
3 | 105, 897 |
35, 299 |
∴ So the LCM of the given numbers is 3 x 35 x 299 = 31395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31395
Therefore, the GCF of Fractions 827/105,397/897 is 1/31395
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 105,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,897) x common factors =3 x 1 = 3
LCM(105,897) = ( 105 × 897 ) / 3
LCM(105,897) = 94185 / 3
LCM(105,897) = 31395
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 827,397?
The HCF of 827,397 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 827/105, 397/897?
Answer: GCF of Numerators as per given numbers 827/105, 397/897 is
GCF of Numerators i.e. for 827,397 is 1
LCM of denominators i.e. for 105,897 is 31395.
Thus, GCF of Fractions is 1/31395.Finally, GCF of Fractions for 827/105, 397/897 is 1/31395.