Use our free GCF of Fractions Calculator tool to compute the GCF of 574/564, 857/755 i.e 1/425820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/564, 857/755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/564,857/755
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 574/564,857/755, numerators are 574,857
Denominators are 564,755
The GCF of 574,857 is 1 .
LCM of 564,755 is 425820.
The greatest common factor of 574/564,857/755 = [GCF of 574,857]/[LCM of 564,755]= 1/425820
Therefore, the GCF of 574/564,857/755 is 1/425820.
To find the highest common factor of 574,857, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 857 are 1, 857
The HCF of 574,857 is 1.
Lets's calculate GCF of 574,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 857
:1,857
Greatest Common Factor
We found the factors 574,857 . The biggest common factor number is the GCF number.
So the greatest common factor 574,857 is 1.
Lets's calculate LCM of 564,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 425820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425820
Therefore, the GCF of Fractions 574/564,857/755 is 1/425820
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 564,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,755) x common factors =1 x 1 = 1
LCM(564,755) = ( 564 × 755 ) / 1
LCM(564,755) = 425820 / 1
LCM(564,755) = 425820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 574,857?
The HCF of 574,857 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 574/564, 857/755?
Answer: GCF of Numerators as per given numbers 574/564, 857/755 is
GCF of Numerators i.e. for 574,857 is 1
LCM of denominators i.e. for 564,755 is 425820.
Thus, GCF of Fractions is 1/425820.Finally, GCF of Fractions for 574/564, 857/755 is 1/425820.