Use our free GCF of Fractions Calculator tool to compute the GCF of 65/111, 419/888, 402/333 i.e 1/2664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/111, 419/888, 402/333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/111,419/888,402/333
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 65/111,419/888,402/333, numerators are 65,419,402
Denominators are 111,888,333
The GCF of 65,419,402 is 1 .
LCM of 111,888,333 is 2664.
The greatest common factor of 65/111,419/888,402/333 = [GCF of 65,419,402]/[LCM of 111,888,333]= 1/2664
Therefore, the GCF of 65/111,419/888,402/333 is 1/2664.
To find the highest common factor of 65,419,402, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 419 are 1, 419
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The HCF of 65,419,402 is 1.
Lets's calculate GCF of 65,419,402
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 419
:1,419
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 65,419,402 . The biggest common factor number is the GCF number.
So the greatest common factor 65,419,402 is 1.
Lets's calculate LCM of 111,888,333
3 | 111, 888, 333 |
37 | 37, 296, 111 |
1, 8, 3 |
∴ So the LCM of the given numbers is 3 x 37 x 1 x 8 x 3 = 2664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2664
Therefore, the GCF of Fractions 65/111,419/888,402/333 is 1/2664
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 111,888,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,888,333) = 111
common factors(in case of two or more numbers have common factors) = 111
GCF(111,888,333) x common factors =111 x 111 = 12321
LCM(111,888,333) = ( 111 × 888 × 333 ) / 12321
LCM(111,888,333) = 32823144 / 12321
LCM(111,888,333) = 2664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,419,402?
The HCF of 65,419,402 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 65/111, 419/888, 402/333?
Answer: GCF of Numerators as per given numbers 65/111, 419/888, 402/333 is
GCF of Numerators i.e. for 65,419,402 is 1
LCM of denominators i.e. for 111,888,333 is 2664.
Thus, GCF of Fractions is 1/2664.Finally, GCF of Fractions for 65/111, 419/888, 402/333 is 1/2664.