Use our free GCF of Fractions Calculator tool to compute the GCF of 544/959, 164/336 i.e 4/46032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/959, 164/336.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/959,164/336
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 544/959,164/336, numerators are 544,164
Denominators are 959,336
The GCF of 544,164 is 4 .
LCM of 959,336 is 46032.
The greatest common factor of 544/959,164/336 = [GCF of 544,164]/[LCM of 959,336]= 4/46032
Therefore, the GCF of 544/959,164/336 is 4/46032.
To find the highest common factor of 544,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 544,164 is 4.
Lets's calculate GCF of 544,164
2 | 544, 164 |
2 | 272, 82 |
136, 41 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 544,164 . The biggest common factor number is the GCF number.
So the greatest common factor 544,164 is 4.
Lets's calculate LCM of 959,336
7 | 959, 336 |
137, 48 |
∴ So the LCM of the given numbers is 7 x 137 x 48 = 46032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/46032
Therefore, the GCF of Fractions 544/959,164/336 is 4/46032
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 959,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,336) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(959,336) x common factors =7 x 1 = 7
LCM(959,336) = ( 959 × 336 ) / 7
LCM(959,336) = 322224 / 7
LCM(959,336) = 46032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 544,164?
The HCF of 544,164 is 4
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 544/959, 164/336?
Answer: GCF of Numerators as per given numbers 544/959, 164/336 is
GCF of Numerators i.e. for 544,164 is 4
LCM of denominators i.e. for 959,336 is 46032.
Thus, GCF of Fractions is 4/46032.Finally, GCF of Fractions for 544/959, 164/336 is 4/46032.