Use our free GCF of Fractions Calculator tool to compute the GCF of 230/866, 564/949 i.e 2/821834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/866, 564/949.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/866,564/949
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 230/866,564/949, numerators are 230,564
Denominators are 866,949
The GCF of 230,564 is 2 .
LCM of 866,949 is 821834.
The greatest common factor of 230/866,564/949 = [GCF of 230,564]/[LCM of 866,949]= 2/821834
Therefore, the GCF of 230/866,564/949 is 2/821834.
To find the highest common factor of 230,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 230,564 is 2.
Lets's calculate GCF of 230,564
2 | 230, 564 |
115, 282 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 230,564 . The biggest common factor number is the GCF number.
So the greatest common factor 230,564 is 2.
Lets's calculate LCM of 866,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 821834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/821834
Therefore, the GCF of Fractions 230/866,564/949 is 2/821834
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 866,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,949) x common factors =1 x 1 = 1
LCM(866,949) = ( 866 × 949 ) / 1
LCM(866,949) = 821834 / 1
LCM(866,949) = 821834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 230,564?
The HCF of 230,564 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 230/866, 564/949?
Answer: GCF of Numerators as per given numbers 230/866, 564/949 is
GCF of Numerators i.e. for 230,564 is 2
LCM of denominators i.e. for 866,949 is 821834.
Thus, GCF of Fractions is 2/821834.Finally, GCF of Fractions for 230/866, 564/949 is 2/821834.