Use our free GCF of Fractions Calculator tool to compute the GCF of 33/112, 36/143, 694/271 i.e 1/4340336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/112, 36/143, 694/271.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/112,36/143,694/271
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 33/112,36/143,694/271, numerators are 33,36,694
Denominators are 112,143,271
The GCF of 33,36,694 is 1 .
LCM of 112,143,271 is 4340336.
The greatest common factor of 33/112,36/143,694/271 = [GCF of 33,36,694]/[LCM of 112,143,271]= 1/4340336
Therefore, the GCF of 33/112,36/143,694/271 is 1/4340336.
To find the highest common factor of 33,36,694, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 694 are 1, 2, 347, 694
The HCF of 33,36,694 is 1.
Lets's calculate GCF of 33,36,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 694
:1,2,347,694
Greatest Common Factor
We found the factors 33,36,694 . The biggest common factor number is the GCF number.
So the greatest common factor 33,36,694 is 1.
Lets's calculate LCM of 112,143,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 4340336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4340336
Therefore, the GCF of Fractions 33/112,36/143,694/271 is 1/4340336
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 112,143,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,143,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,143,271) x common factors =1 x 1 = 1
LCM(112,143,271) = ( 112 × 143 × 271 ) / 1
LCM(112,143,271) = 4340336 / 1
LCM(112,143,271) = 4340336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 33,36,694?
The HCF of 33,36,694 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 33/112, 36/143, 694/271?
Answer: GCF of Numerators as per given numbers 33/112, 36/143, 694/271 is
GCF of Numerators i.e. for 33,36,694 is 1
LCM of denominators i.e. for 112,143,271 is 4340336.
Thus, GCF of Fractions is 1/4340336.Finally, GCF of Fractions for 33/112, 36/143, 694/271 is 1/4340336.