Use our free GCF of Fractions Calculator tool to compute the GCF of 297/306, 170/176 i.e 1/26928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/306, 170/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/306,170/176
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 297/306,170/176, numerators are 297,170
Denominators are 306,176
The GCF of 297,170 is 1 .
LCM of 306,176 is 26928.
The greatest common factor of 297/306,170/176 = [GCF of 297,170]/[LCM of 306,176]= 1/26928
Therefore, the GCF of 297/306,170/176 is 1/26928.
To find the highest common factor of 297,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 297,170 is 1.
Lets's calculate GCF of 297,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 297,170 . The biggest common factor number is the GCF number.
So the greatest common factor 297,170 is 1.
Lets's calculate LCM of 306,176
2 | 306, 176 |
153, 88 |
∴ So the LCM of the given numbers is 2 x 153 x 88 = 26928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26928
Therefore, the GCF of Fractions 297/306,170/176 is 1/26928
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 306,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,176) x common factors =2 x 1 = 2
LCM(306,176) = ( 306 × 176 ) / 2
LCM(306,176) = 53856 / 2
LCM(306,176) = 26928
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 297,170?
The HCF of 297,170 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 297/306, 170/176?
Answer: GCF of Numerators as per given numbers 297/306, 170/176 is
GCF of Numerators i.e. for 297,170 is 1
LCM of denominators i.e. for 306,176 is 26928.
Thus, GCF of Fractions is 1/26928.Finally, GCF of Fractions for 297/306, 170/176 is 1/26928.