Use our free GCF of Fractions Calculator tool to compute the GCF of 21/61, 259/26, 797/464 i.e 1/367952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/61, 259/26, 797/464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/61,259/26,797/464
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 21/61,259/26,797/464, numerators are 21,259,797
Denominators are 61,26,464
The GCF of 21,259,797 is 1 .
LCM of 61,26,464 is 367952.
The greatest common factor of 21/61,259/26,797/464 = [GCF of 21,259,797]/[LCM of 61,26,464]= 1/367952
Therefore, the GCF of 21/61,259/26,797/464 is 1/367952.
To find the highest common factor of 21,259,797, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 259 are 1, 7, 37, 259
The factors of 797 are 1, 797
The HCF of 21,259,797 is 1.
Lets's calculate GCF of 21,259,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 259
:1,7,37,259
Now, list down the factors of 797
:1,797
Greatest Common Factor
We found the factors 21,259,797 . The biggest common factor number is the GCF number.
So the greatest common factor 21,259,797 is 1.
Lets's calculate LCM of 61,26,464
2 | 61, 26, 464 |
61, 13, 232 |
∴ So the LCM of the given numbers is 2 x 61 x 13 x 232 = 367952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367952
Therefore, the GCF of Fractions 21/61,259/26,797/464 is 1/367952
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 61,26,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,26,464) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,26,464) x common factors =1 x 2 = 2
LCM(61,26,464) = ( 61 × 26 × 464 ) / 2
LCM(61,26,464) = 735904 / 2
LCM(61,26,464) = 367952
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,259,797?
The HCF of 21,259,797 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 21/61, 259/26, 797/464?
Answer: GCF of Numerators as per given numbers 21/61, 259/26, 797/464 is
GCF of Numerators i.e. for 21,259,797 is 1
LCM of denominators i.e. for 61,26,464 is 367952.
Thus, GCF of Fractions is 1/367952.Finally, GCF of Fractions for 21/61, 259/26, 797/464 is 1/367952.