Use our free GCF of Fractions Calculator tool to compute the GCF of 946/122, 223/306 i.e 1/18666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 946/122, 223/306.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/122,223/306
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 946/122,223/306, numerators are 946,223
Denominators are 122,306
The GCF of 946,223 is 1 .
LCM of 122,306 is 18666.
The greatest common factor of 946/122,223/306 = [GCF of 946,223]/[LCM of 122,306]= 1/18666
Therefore, the GCF of 946/122,223/306 is 1/18666.
To find the highest common factor of 946,223, we have to find the factors of both numbers and list the highest common factor.
The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946
The factors of 223 are 1, 223
The HCF of 946,223 is 1.
Lets's calculate GCF of 946,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 946
:1,2,11,22,43,86,473,946
Now, list down the factors of 223
:1,223
Greatest Common Factor
We found the factors 946,223 . The biggest common factor number is the GCF number.
So the greatest common factor 946,223 is 1.
Lets's calculate LCM of 122,306
2 | 122, 306 |
61, 153 |
∴ So the LCM of the given numbers is 2 x 61 x 153 = 18666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18666
Therefore, the GCF of Fractions 946/122,223/306 is 1/18666
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 122,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,306) x common factors =2 x 1 = 2
LCM(122,306) = ( 122 × 306 ) / 2
LCM(122,306) = 37332 / 2
LCM(122,306) = 18666
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 946,223?
The HCF of 946,223 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 946/122, 223/306?
Answer: GCF of Numerators as per given numbers 946/122, 223/306 is
GCF of Numerators i.e. for 946,223 is 1
LCM of denominators i.e. for 122,306 is 18666.
Thus, GCF of Fractions is 1/18666.Finally, GCF of Fractions for 946/122, 223/306 is 1/18666.