Use our free GCF of Fractions Calculator tool to compute the GCF of 946/405, 905/300 i.e 1/8100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 946/405, 905/300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/405,905/300
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 946/405,905/300, numerators are 946,905
Denominators are 405,300
The GCF of 946,905 is 1 .
LCM of 405,300 is 8100.
The greatest common factor of 946/405,905/300 = [GCF of 946,905]/[LCM of 405,300]= 1/8100
Therefore, the GCF of 946/405,905/300 is 1/8100.
To find the highest common factor of 946,905, 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 905 are 1, 5, 181, 905
The HCF of 946,905 is 1.
Lets's calculate GCF of 946,905
∴ 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 905
:1,5,181,905
Greatest Common Factor
We found the factors 946,905 . The biggest common factor number is the GCF number.
So the greatest common factor 946,905 is 1.
Lets's calculate LCM of 405,300
3 | 405, 300 |
5 | 135, 100 |
27, 20 |
∴ So the LCM of the given numbers is 3 x 5 x 27 x 20 = 8100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8100
Therefore, the GCF of Fractions 946/405,905/300 is 1/8100
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 405,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,300) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(405,300) x common factors =15 x 1 = 15
LCM(405,300) = ( 405 × 300 ) / 15
LCM(405,300) = 121500 / 15
LCM(405,300) = 8100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 946,905?
The HCF of 946,905 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 946/405, 905/300?
Answer: GCF of Numerators as per given numbers 946/405, 905/300 is
GCF of Numerators i.e. for 946,905 is 1
LCM of denominators i.e. for 405,300 is 8100.
Thus, GCF of Fractions is 1/8100.Finally, GCF of Fractions for 946/405, 905/300 is 1/8100.