Use our free GCF of Fractions Calculator tool to compute the GCF of 259/976, 890/506 i.e 1/246928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 259/976, 890/506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 259/976,890/506
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 259/976,890/506, numerators are 259,890
Denominators are 976,506
The GCF of 259,890 is 1 .
LCM of 976,506 is 246928.
The greatest common factor of 259/976,890/506 = [GCF of 259,890]/[LCM of 976,506]= 1/246928
Therefore, the GCF of 259/976,890/506 is 1/246928.
To find the highest common factor of 259,890, we have to find the factors of both numbers and list the highest common factor.
The factors of 259 are 1, 7, 37, 259
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The HCF of 259,890 is 1.
Lets's calculate GCF of 259,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 259
:1,7,37,259
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 259,890 . The biggest common factor number is the GCF number.
So the greatest common factor 259,890 is 1.
Lets's calculate LCM of 976,506
2 | 976, 506 |
488, 253 |
∴ So the LCM of the given numbers is 2 x 488 x 253 = 246928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246928
Therefore, the GCF of Fractions 259/976,890/506 is 1/246928
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 976,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,506) x common factors =2 x 1 = 2
LCM(976,506) = ( 976 × 506 ) / 2
LCM(976,506) = 493856 / 2
LCM(976,506) = 246928
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 259,890?
The HCF of 259,890 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 259/976, 890/506?
Answer: GCF of Numerators as per given numbers 259/976, 890/506 is
GCF of Numerators i.e. for 259,890 is 1
LCM of denominators i.e. for 976,506 is 246928.
Thus, GCF of Fractions is 1/246928.Finally, GCF of Fractions for 259/976, 890/506 is 1/246928.