Use our free GCF of Fractions Calculator tool to compute the GCF of 66/67, 143/95, 587/726 i.e 1/4620990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/67, 143/95, 587/726.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/67,143/95,587/726
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 66/67,143/95,587/726, numerators are 66,143,587
Denominators are 67,95,726
The GCF of 66,143,587 is 1 .
LCM of 67,95,726 is 4620990.
The greatest common factor of 66/67,143/95,587/726 = [GCF of 66,143,587]/[LCM of 67,95,726]= 1/4620990
Therefore, the GCF of 66/67,143/95,587/726 is 1/4620990.
To find the highest common factor of 66,143,587, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 143 are 1, 11, 13, 143
The factors of 587 are 1, 587
The HCF of 66,143,587 is 1.
Lets's calculate GCF of 66,143,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 587
:1,587
Greatest Common Factor
We found the factors 66,143,587 . The biggest common factor number is the GCF number.
So the greatest common factor 66,143,587 is 1.
Lets's calculate LCM of 67,95,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 4620990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620990
Therefore, the GCF of Fractions 66/67,143/95,587/726 is 1/4620990
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 67,95,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,95,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,95,726) x common factors =1 x 1 = 1
LCM(67,95,726) = ( 67 × 95 × 726 ) / 1
LCM(67,95,726) = 4620990 / 1
LCM(67,95,726) = 4620990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,143,587?
The HCF of 66,143,587 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 66/67, 143/95, 587/726?
Answer: GCF of Numerators as per given numbers 66/67, 143/95, 587/726 is
GCF of Numerators i.e. for 66,143,587 is 1
LCM of denominators i.e. for 67,95,726 is 4620990.
Thus, GCF of Fractions is 1/4620990.Finally, GCF of Fractions for 66/67, 143/95, 587/726 is 1/4620990.