Use our free GCF of Fractions Calculator tool to compute the GCF of 341/745, 306/216 i.e 1/160920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/745, 306/216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/745,306/216
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 341/745,306/216, numerators are 341,306
Denominators are 745,216
The GCF of 341,306 is 1 .
LCM of 745,216 is 160920.
The greatest common factor of 341/745,306/216 = [GCF of 341,306]/[LCM of 745,216]= 1/160920
Therefore, the GCF of 341/745,306/216 is 1/160920.
To find the highest common factor of 341,306, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
The HCF of 341,306 is 1.
Lets's calculate GCF of 341,306
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 306
:1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 341,306 . The biggest common factor number is the GCF number.
So the greatest common factor 341,306 is 1.
Lets's calculate LCM of 745,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 160920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160920
Therefore, the GCF of Fractions 341/745,306/216 is 1/160920
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 745,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,216) x common factors =1 x 1 = 1
LCM(745,216) = ( 745 × 216 ) / 1
LCM(745,216) = 160920 / 1
LCM(745,216) = 160920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 341,306?
The HCF of 341,306 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 341/745, 306/216?
Answer: GCF of Numerators as per given numbers 341/745, 306/216 is
GCF of Numerators i.e. for 341,306 is 1
LCM of denominators i.e. for 745,216 is 160920.
Thus, GCF of Fractions is 1/160920.Finally, GCF of Fractions for 341/745, 306/216 is 1/160920.