Use our free GCF of Fractions Calculator tool to compute the GCF of 85/612, 603/726, 821/255 i.e 1/370260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/612, 603/726, 821/255.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/612,603/726,821/255
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 85/612,603/726,821/255, numerators are 85,603,821
Denominators are 612,726,255
The GCF of 85,603,821 is 1 .
LCM of 612,726,255 is 370260.
The greatest common factor of 85/612,603/726,821/255 = [GCF of 85,603,821]/[LCM of 612,726,255]= 1/370260
Therefore, the GCF of 85/612,603/726,821/255 is 1/370260.
To find the highest common factor of 85,603,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 821 are 1, 821
The HCF of 85,603,821 is 1.
Lets's calculate GCF of 85,603,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 85,603,821 . The biggest common factor number is the GCF number.
So the greatest common factor 85,603,821 is 1.
Lets's calculate LCM of 612,726,255
2 | 612, 726, 255 |
3 | 306, 363, 255 |
17 | 102, 121, 85 |
6, 121, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 6 x 121 x 5 = 370260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370260
Therefore, the GCF of Fractions 85/612,603/726,821/255 is 1/370260
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 612,726,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,726,255) = 3
common factors(in case of two or more numbers have common factors) = 102
GCF(612,726,255) x common factors =3 x 102 = 306
LCM(612,726,255) = ( 612 × 726 × 255 ) / 306
LCM(612,726,255) = 113299560 / 306
LCM(612,726,255) = 370260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 85,603,821?
The HCF of 85,603,821 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 85/612, 603/726, 821/255?
Answer: GCF of Numerators as per given numbers 85/612, 603/726, 821/255 is
GCF of Numerators i.e. for 85,603,821 is 1
LCM of denominators i.e. for 612,726,255 is 370260.
Thus, GCF of Fractions is 1/370260.Finally, GCF of Fractions for 85/612, 603/726, 821/255 is 1/370260.