Use our free GCF of Fractions Calculator tool to compute the GCF of 866/200, 438/321 i.e 2/64200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/200, 438/321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/200,438/321
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 866/200,438/321, numerators are 866,438
Denominators are 200,321
The GCF of 866,438 is 2 .
LCM of 200,321 is 64200.
The greatest common factor of 866/200,438/321 = [GCF of 866,438]/[LCM of 200,321]= 2/64200
Therefore, the GCF of 866/200,438/321 is 2/64200.
To find the highest common factor of 866,438, 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 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 866,438 is 2.
Lets's calculate GCF of 866,438
2 | 866, 438 |
433, 219 |
∴ 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 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 866,438 . The biggest common factor number is the GCF number.
So the greatest common factor 866,438 is 2.
Lets's calculate LCM of 200,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 64200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64200
Therefore, the GCF of Fractions 866/200,438/321 is 2/64200
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 200,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,321) x common factors =1 x 1 = 1
LCM(200,321) = ( 200 × 321 ) / 1
LCM(200,321) = 64200 / 1
LCM(200,321) = 64200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 866,438?
The HCF of 866,438 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 866/200, 438/321?
Answer: GCF of Numerators as per given numbers 866/200, 438/321 is
GCF of Numerators i.e. for 866,438 is 2
LCM of denominators i.e. for 200,321 is 64200.
Thus, GCF of Fractions is 2/64200.Finally, GCF of Fractions for 866/200, 438/321 is 2/64200.