Use our free GCF of Fractions Calculator tool to compute the GCF of 8968/512, 4564/4681 i.e 4/2396672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8968/512, 4564/4681.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8968/512,4564/4681
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 8968/512,4564/4681, numerators are 8968,4564
Denominators are 512,4681
The GCF of 8968,4564 is 4 .
LCM of 512,4681 is 2396672.
The greatest common factor of 8968/512,4564/4681 = [GCF of 8968,4564]/[LCM of 512,4681]= 4/2396672
Therefore, the GCF of 8968/512,4564/4681 is 4/2396672.
To find the highest common factor of 8968,4564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The HCF of 8968,4564 is 4.
Lets's calculate GCF of 8968,4564
2 | 8968, 4564 |
2 | 4484, 2282 |
2242, 1141 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 8968
:1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Greatest Common Factor
We found the factors 8968,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 8968,4564 is 4.
Lets's calculate LCM of 512,4681
Given numbers has no common factors except 1. So, there LCM is their product i.e 2396672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2396672
Therefore, the GCF of Fractions 8968/512,4564/4681 is 4/2396672
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 512,4681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,4681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,4681) x common factors =1 x 1 = 1
LCM(512,4681) = ( 512 × 4681 ) / 1
LCM(512,4681) = 2396672 / 1
LCM(512,4681) = 2396672
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8968,4564?
The HCF of 8968,4564 is 4
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 8968/512, 4564/4681?
Answer: GCF of Numerators as per given numbers 8968/512, 4564/4681 is
GCF of Numerators i.e. for 8968,4564 is 4
LCM of denominators i.e. for 512,4681 is 2396672.
Thus, GCF of Fractions is 4/2396672.Finally, GCF of Fractions for 8968/512, 4564/4681 is 4/2396672.