Use our free GCF of Fractions Calculator tool to compute the GCF of 566/599, 314/971 i.e 2/581629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/599, 314/971.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/599,314/971
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 566/599,314/971, numerators are 566,314
Denominators are 599,971
The GCF of 566,314 is 2 .
LCM of 599,971 is 581629.
The greatest common factor of 566/599,314/971 = [GCF of 566,314]/[LCM of 599,971]= 2/581629
Therefore, the GCF of 566/599,314/971 is 2/581629.
To find the highest common factor of 566,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 314 are 1, 2, 157, 314
The HCF of 566,314 is 2.
Lets's calculate GCF of 566,314
2 | 566, 314 |
283, 157 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 566,314 . The biggest common factor number is the GCF number.
So the greatest common factor 566,314 is 2.
Lets's calculate LCM of 599,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 581629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/581629
Therefore, the GCF of Fractions 566/599,314/971 is 2/581629
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 599,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,971) x common factors =1 x 1 = 1
LCM(599,971) = ( 599 × 971 ) / 1
LCM(599,971) = 581629 / 1
LCM(599,971) = 581629
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 566,314?
The HCF of 566,314 is 2
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 566/599, 314/971?
Answer: GCF of Numerators as per given numbers 566/599, 314/971 is
GCF of Numerators i.e. for 566,314 is 2
LCM of denominators i.e. for 599,971 is 581629.
Thus, GCF of Fractions is 2/581629.Finally, GCF of Fractions for 566/599, 314/971 is 2/581629.