Use our free GCF of Fractions Calculator tool to compute the GCF of 821/182, 726/587 i.e 1/106834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 821/182, 726/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/182,726/587
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 821/182,726/587, numerators are 821,726
Denominators are 182,587
The GCF of 821,726 is 1 .
LCM of 182,587 is 106834.
The greatest common factor of 821/182,726/587 = [GCF of 821,726]/[LCM of 182,587]= 1/106834
Therefore, the GCF of 821/182,726/587 is 1/106834.
To find the highest common factor of 821,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 821 are 1, 821
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 821,726 is 1.
Lets's calculate GCF of 821,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 821
:1,821
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 821,726 . The biggest common factor number is the GCF number.
So the greatest common factor 821,726 is 1.
Lets's calculate LCM of 182,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 106834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106834
Therefore, the GCF of Fractions 821/182,726/587 is 1/106834
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 182,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,587) x common factors =1 x 1 = 1
LCM(182,587) = ( 182 × 587 ) / 1
LCM(182,587) = 106834 / 1
LCM(182,587) = 106834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 821,726?
The HCF of 821,726 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 821/182, 726/587?
Answer: GCF of Numerators as per given numbers 821/182, 726/587 is
GCF of Numerators i.e. for 821,726 is 1
LCM of denominators i.e. for 182,587 is 106834.
Thus, GCF of Fractions is 1/106834.Finally, GCF of Fractions for 821/182, 726/587 is 1/106834.