Use our free GCF of Fractions Calculator tool to compute the GCF of 866/865, 726/549 i.e 2/474885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/865, 726/549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/865,726/549
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 866/865,726/549, numerators are 866,726
Denominators are 865,549
The GCF of 866,726 is 2 .
LCM of 865,549 is 474885.
The greatest common factor of 866/865,726/549 = [GCF of 866,726]/[LCM of 865,549]= 2/474885
Therefore, the GCF of 866/865,726/549 is 2/474885.
To find the highest common factor of 866,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 866,726 is 2.
Lets's calculate GCF of 866,726
2 | 866, 726 |
433, 363 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 866,726 . The biggest common factor number is the GCF number.
So the greatest common factor 866,726 is 2.
Lets's calculate LCM of 865,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 474885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/474885
Therefore, the GCF of Fractions 866/865,726/549 is 2/474885
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 865,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,549) x common factors =1 x 1 = 1
LCM(865,549) = ( 865 × 549 ) / 1
LCM(865,549) = 474885 / 1
LCM(865,549) = 474885
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 866,726?
The HCF of 866,726 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 866/865, 726/549?
Answer: GCF of Numerators as per given numbers 866/865, 726/549 is
GCF of Numerators i.e. for 866,726 is 2
LCM of denominators i.e. for 865,549 is 474885.
Thus, GCF of Fractions is 2/474885.Finally, GCF of Fractions for 866/865, 726/549 is 2/474885.