Use our free GCF of Fractions Calculator tool to compute the GCF of 866/274, 318/441 i.e 2/120834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/274, 318/441.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/274,318/441
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 866/274,318/441, numerators are 866,318
Denominators are 274,441
The GCF of 866,318 is 2 .
LCM of 274,441 is 120834.
The greatest common factor of 866/274,318/441 = [GCF of 866,318]/[LCM of 274,441]= 2/120834
Therefore, the GCF of 866/274,318/441 is 2/120834.
To find the highest common factor of 866,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 866,318 is 2.
Lets's calculate GCF of 866,318
2 | 866, 318 |
433, 159 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 866,318 . The biggest common factor number is the GCF number.
So the greatest common factor 866,318 is 2.
Lets's calculate LCM of 274,441
Given numbers has no common factors except 1. So, there LCM is their product i.e 120834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120834
Therefore, the GCF of Fractions 866/274,318/441 is 2/120834
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 274,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,441) x common factors =1 x 1 = 1
LCM(274,441) = ( 274 × 441 ) / 1
LCM(274,441) = 120834 / 1
LCM(274,441) = 120834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 866,318?
The HCF of 866,318 is 2
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 866/274, 318/441?
Answer: GCF of Numerators as per given numbers 866/274, 318/441 is
GCF of Numerators i.e. for 866,318 is 2
LCM of denominators i.e. for 274,441 is 120834.
Thus, GCF of Fractions is 2/120834.Finally, GCF of Fractions for 866/274, 318/441 is 2/120834.