Use our free GCF of Fractions Calculator tool to compute the GCF of 442/259, 917/889 i.e 1/32893 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/259, 917/889.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/259,917/889
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 442/259,917/889, numerators are 442,917
Denominators are 259,889
The GCF of 442,917 is 1 .
LCM of 259,889 is 32893.
The greatest common factor of 442/259,917/889 = [GCF of 442,917]/[LCM of 259,889]= 1/32893
Therefore, the GCF of 442/259,917/889 is 1/32893.
To find the highest common factor of 442,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 917 are 1, 7, 131, 917
The HCF of 442,917 is 1.
Lets's calculate GCF of 442,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 442,917 . The biggest common factor number is the GCF number.
So the greatest common factor 442,917 is 1.
Lets's calculate LCM of 259,889
7 | 259, 889 |
37, 127 |
∴ So the LCM of the given numbers is 7 x 37 x 127 = 32893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32893
Therefore, the GCF of Fractions 442/259,917/889 is 1/32893
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 259,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,889) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(259,889) x common factors =7 x 1 = 7
LCM(259,889) = ( 259 × 889 ) / 7
LCM(259,889) = 230251 / 7
LCM(259,889) = 32893
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 442,917?
The HCF of 442,917 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 442/259, 917/889?
Answer: GCF of Numerators as per given numbers 442/259, 917/889 is
GCF of Numerators i.e. for 442,917 is 1
LCM of denominators i.e. for 259,889 is 32893.
Thus, GCF of Fractions is 1/32893.Finally, GCF of Fractions for 442/259, 917/889 is 1/32893.