Use our free GCF of Fractions Calculator tool to compute the GCF of 866/683, 782/418 i.e 2/285494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/683, 782/418.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/683,782/418
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 866/683,782/418, numerators are 866,782
Denominators are 683,418
The GCF of 866,782 is 2 .
LCM of 683,418 is 285494.
The greatest common factor of 866/683,782/418 = [GCF of 866,782]/[LCM of 683,418]= 2/285494
Therefore, the GCF of 866/683,782/418 is 2/285494.
To find the highest common factor of 866,782, 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 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 866,782 is 2.
Lets's calculate GCF of 866,782
2 | 866, 782 |
433, 391 |
∴ 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 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 866,782 . The biggest common factor number is the GCF number.
So the greatest common factor 866,782 is 2.
Lets's calculate LCM of 683,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 285494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/285494
Therefore, the GCF of Fractions 866/683,782/418 is 2/285494
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 683,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,418) x common factors =1 x 1 = 1
LCM(683,418) = ( 683 × 418 ) / 1
LCM(683,418) = 285494 / 1
LCM(683,418) = 285494
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 866,782?
The HCF of 866,782 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 866/683, 782/418?
Answer: GCF of Numerators as per given numbers 866/683, 782/418 is
GCF of Numerators i.e. for 866,782 is 2
LCM of denominators i.e. for 683,418 is 285494.
Thus, GCF of Fractions is 2/285494.Finally, GCF of Fractions for 866/683, 782/418 is 2/285494.