Use our free GCF of Fractions Calculator tool to compute the GCF of 220/258, 521/916 i.e 1/118164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/258, 521/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/258,521/916
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 220/258,521/916, numerators are 220,521
Denominators are 258,916
The GCF of 220,521 is 1 .
LCM of 258,916 is 118164.
The greatest common factor of 220/258,521/916 = [GCF of 220,521]/[LCM of 258,916]= 1/118164
Therefore, the GCF of 220/258,521/916 is 1/118164.
To find the highest common factor of 220,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 521 are 1, 521
The HCF of 220,521 is 1.
Lets's calculate GCF of 220,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 220,521 . The biggest common factor number is the GCF number.
So the greatest common factor 220,521 is 1.
Lets's calculate LCM of 258,916
2 | 258, 916 |
129, 458 |
∴ So the LCM of the given numbers is 2 x 129 x 458 = 118164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118164
Therefore, the GCF of Fractions 220/258,521/916 is 1/118164
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 258,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,916) x common factors =2 x 1 = 2
LCM(258,916) = ( 258 × 916 ) / 2
LCM(258,916) = 236328 / 2
LCM(258,916) = 118164
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,521?
The HCF of 220,521 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 220/258, 521/916?
Answer: GCF of Numerators as per given numbers 220/258, 521/916 is
GCF of Numerators i.e. for 220,521 is 1
LCM of denominators i.e. for 258,916 is 118164.
Thus, GCF of Fractions is 1/118164.Finally, GCF of Fractions for 220/258, 521/916 is 1/118164.