Use our free GCF of Fractions Calculator tool to compute the GCF of 631/606, 591/712 i.e 1/215736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/606, 591/712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/606,591/712
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 631/606,591/712, numerators are 631,591
Denominators are 606,712
The GCF of 631,591 is 1 .
LCM of 606,712 is 215736.
The greatest common factor of 631/606,591/712 = [GCF of 631,591]/[LCM of 606,712]= 1/215736
Therefore, the GCF of 631/606,591/712 is 1/215736.
To find the highest common factor of 631,591, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 591 are 1, 3, 197, 591
The HCF of 631,591 is 1.
Lets's calculate GCF of 631,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 631
:1,631
Now, list down the factors of 591
:1,3,197,591
Greatest Common Factor
We found the factors 631,591 . The biggest common factor number is the GCF number.
So the greatest common factor 631,591 is 1.
Lets's calculate LCM of 606,712
2 | 606, 712 |
303, 356 |
∴ So the LCM of the given numbers is 2 x 303 x 356 = 215736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215736
Therefore, the GCF of Fractions 631/606,591/712 is 1/215736
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 606,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,712) x common factors =2 x 1 = 2
LCM(606,712) = ( 606 × 712 ) / 2
LCM(606,712) = 431472 / 2
LCM(606,712) = 215736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 631,591?
The HCF of 631,591 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 631/606, 591/712?
Answer: GCF of Numerators as per given numbers 631/606, 591/712 is
GCF of Numerators i.e. for 631,591 is 1
LCM of denominators i.e. for 606,712 is 215736.
Thus, GCF of Fractions is 1/215736.Finally, GCF of Fractions for 631/606, 591/712 is 1/215736.