Use our free GCF of Fractions Calculator tool to compute the GCF of 555/256, 601/170 i.e 1/21760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/256, 601/170.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/256,601/170
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 555/256,601/170, numerators are 555,601
Denominators are 256,170
The GCF of 555,601 is 1 .
LCM of 256,170 is 21760.
The greatest common factor of 555/256,601/170 = [GCF of 555,601]/[LCM of 256,170]= 1/21760
Therefore, the GCF of 555/256,601/170 is 1/21760.
To find the highest common factor of 555,601, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 601 are 1, 601
The HCF of 555,601 is 1.
Lets's calculate GCF of 555,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 601
:1,601
Greatest Common Factor
We found the factors 555,601 . The biggest common factor number is the GCF number.
So the greatest common factor 555,601 is 1.
Lets's calculate LCM of 256,170
2 | 256, 170 |
128, 85 |
∴ So the LCM of the given numbers is 2 x 128 x 85 = 21760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21760
Therefore, the GCF of Fractions 555/256,601/170 is 1/21760
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 256,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,170) x common factors =2 x 1 = 2
LCM(256,170) = ( 256 × 170 ) / 2
LCM(256,170) = 43520 / 2
LCM(256,170) = 21760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 555,601?
The HCF of 555,601 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 555/256, 601/170?
Answer: GCF of Numerators as per given numbers 555/256, 601/170 is
GCF of Numerators i.e. for 555,601 is 1
LCM of denominators i.e. for 256,170 is 21760.
Thus, GCF of Fractions is 1/21760.Finally, GCF of Fractions for 555/256, 601/170 is 1/21760.