Use our free GCF of Fractions Calculator tool to compute the GCF of 901/846, 212/321 i.e 53/90522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/846, 212/321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/846,212/321
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 901/846,212/321, numerators are 901,212
Denominators are 846,321
The GCF of 901,212 is 53 .
LCM of 846,321 is 90522.
The greatest common factor of 901/846,212/321 = [GCF of 901,212]/[LCM of 846,321]= 53/90522
Therefore, the GCF of 901/846,212/321 is 53/90522.
To find the highest common factor of 901,212, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 212 are 1, 2, 4, 53, 106, 212
The HCF of 901,212 is 53.
Lets's calculate GCF of 901,212
53 | 901, 212 |
17, 4 |
∴ So the GCF of the given numbers is 53 = 53
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 212
:1,2,4,53,106,212
Greatest Common Factor
We found the factors 901,212 . The biggest common factor number is the GCF number.
So the greatest common factor 901,212 is 53.
Lets's calculate LCM of 846,321
3 | 846, 321 |
282, 107 |
∴ So the LCM of the given numbers is 3 x 282 x 107 = 90522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/90522
Therefore, the GCF of Fractions 901/846,212/321 is 53/90522
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 846,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(846,321) x common factors =3 x 1 = 3
LCM(846,321) = ( 846 × 321 ) / 3
LCM(846,321) = 271566 / 3
LCM(846,321) = 90522
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 901,212?
The HCF of 901,212 is 53
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 901/846, 212/321?
Answer: GCF of Numerators as per given numbers 901/846, 212/321 is
GCF of Numerators i.e. for 901,212 is 53
LCM of denominators i.e. for 846,321 is 90522.
Thus, GCF of Fractions is 53/90522.Finally, GCF of Fractions for 901/846, 212/321 is 53/90522.