Use our free GCF of Fractions Calculator tool to compute the GCF of 653/396, 883/897 i.e 1/118404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/396, 883/897.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/396,883/897
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 653/396,883/897, numerators are 653,883
Denominators are 396,897
The GCF of 653,883 is 1 .
LCM of 396,897 is 118404.
The greatest common factor of 653/396,883/897 = [GCF of 653,883]/[LCM of 396,897]= 1/118404
Therefore, the GCF of 653/396,883/897 is 1/118404.
To find the highest common factor of 653,883, we have to find the factors of both numbers and list the highest common factor.
The factors of 653 are 1, 653
The factors of 883 are 1, 883
The HCF of 653,883 is 1.
Lets's calculate GCF of 653,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 653
:1,653
Now, list down the factors of 883
:1,883
Greatest Common Factor
We found the factors 653,883 . The biggest common factor number is the GCF number.
So the greatest common factor 653,883 is 1.
Lets's calculate LCM of 396,897
3 | 396, 897 |
132, 299 |
∴ So the LCM of the given numbers is 3 x 132 x 299 = 118404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118404
Therefore, the GCF of Fractions 653/396,883/897 is 1/118404
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 396,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(396,897) x common factors =3 x 1 = 3
LCM(396,897) = ( 396 × 897 ) / 3
LCM(396,897) = 355212 / 3
LCM(396,897) = 118404
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 653,883?
The HCF of 653,883 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 653/396, 883/897?
Answer: GCF of Numerators as per given numbers 653/396, 883/897 is
GCF of Numerators i.e. for 653,883 is 1
LCM of denominators i.e. for 396,897 is 118404.
Thus, GCF of Fractions is 1/118404.Finally, GCF of Fractions for 653/396, 883/897 is 1/118404.