Use our free GCF of Fractions Calculator tool to compute the GCF of 463/561, 945/310 i.e 1/173910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 463/561, 945/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 463/561,945/310
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 463/561,945/310, numerators are 463,945
Denominators are 561,310
The GCF of 463,945 is 1 .
LCM of 561,310 is 173910.
The greatest common factor of 463/561,945/310 = [GCF of 463,945]/[LCM of 561,310]= 1/173910
Therefore, the GCF of 463/561,945/310 is 1/173910.
To find the highest common factor of 463,945, we have to find the factors of both numbers and list the highest common factor.
The factors of 463 are 1, 463
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 463,945 is 1.
Lets's calculate GCF of 463,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 463
:1,463
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 463,945 . The biggest common factor number is the GCF number.
So the greatest common factor 463,945 is 1.
Lets's calculate LCM of 561,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 173910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173910
Therefore, the GCF of Fractions 463/561,945/310 is 1/173910
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 561,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,310) x common factors =1 x 1 = 1
LCM(561,310) = ( 561 × 310 ) / 1
LCM(561,310) = 173910 / 1
LCM(561,310) = 173910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 463,945?
The HCF of 463,945 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 463/561, 945/310?
Answer: GCF of Numerators as per given numbers 463/561, 945/310 is
GCF of Numerators i.e. for 463,945 is 1
LCM of denominators i.e. for 561,310 is 173910.
Thus, GCF of Fractions is 1/173910.Finally, GCF of Fractions for 463/561, 945/310 is 1/173910.