Use our free GCF of Fractions Calculator tool to compute the GCF of 4717/963, 3577/8250 i.e 1/2648250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4717/963, 3577/8250.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4717/963,3577/8250
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 4717/963,3577/8250, numerators are 4717,3577
Denominators are 963,8250
The GCF of 4717,3577 is 1 .
LCM of 963,8250 is 2648250.
The greatest common factor of 4717/963,3577/8250 = [GCF of 4717,3577]/[LCM of 963,8250]= 1/2648250
Therefore, the GCF of 4717/963,3577/8250 is 1/2648250.
To find the highest common factor of 4717,3577, we have to find the factors of both numbers and list the highest common factor.
The factors of 4717 are 1, 53, 89, 4717
The factors of 3577 are 1, 7, 49, 73, 511, 3577
The HCF of 4717,3577 is 1.
Lets's calculate GCF of 4717,3577
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4717
:1,53,89,4717
Now, list down the factors of 3577
:1,7,49,73,511,3577
Greatest Common Factor
We found the factors 4717,3577 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,3577 is 1.
Lets's calculate LCM of 963,8250
3 | 963, 8250 |
321, 2750 |
∴ So the LCM of the given numbers is 3 x 321 x 2750 = 2648250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2648250
Therefore, the GCF of Fractions 4717/963,3577/8250 is 1/2648250
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 963,8250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,8250) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(963,8250) x common factors =3 x 1 = 3
LCM(963,8250) = ( 963 × 8250 ) / 3
LCM(963,8250) = 7944750 / 3
LCM(963,8250) = 2648250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4717,3577?
The HCF of 4717,3577 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 4717/963, 3577/8250?
Answer: GCF of Numerators as per given numbers 4717/963, 3577/8250 is
GCF of Numerators i.e. for 4717,3577 is 1
LCM of denominators i.e. for 963,8250 is 2648250.
Thus, GCF of Fractions is 1/2648250.Finally, GCF of Fractions for 4717/963, 3577/8250 is 1/2648250.