Use our free GCF of Fractions Calculator tool to compute the GCF of 866/686, 852/914 i.e 2/313502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/686, 852/914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/686,852/914
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 866/686,852/914, numerators are 866,852
Denominators are 686,914
The GCF of 866,852 is 2 .
LCM of 686,914 is 313502.
The greatest common factor of 866/686,852/914 = [GCF of 866,852]/[LCM of 686,914]= 2/313502
Therefore, the GCF of 866/686,852/914 is 2/313502.
To find the highest common factor of 866,852, 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 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 866,852 is 2.
Lets's calculate GCF of 866,852
2 | 866, 852 |
433, 426 |
∴ 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 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 866,852 . The biggest common factor number is the GCF number.
So the greatest common factor 866,852 is 2.
Lets's calculate LCM of 686,914
2 | 686, 914 |
343, 457 |
∴ So the LCM of the given numbers is 2 x 343 x 457 = 313502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313502
Therefore, the GCF of Fractions 866/686,852/914 is 2/313502
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 686,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,914) x common factors =2 x 1 = 2
LCM(686,914) = ( 686 × 914 ) / 2
LCM(686,914) = 627004 / 2
LCM(686,914) = 313502
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 866,852?
The HCF of 866,852 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 866/686, 852/914?
Answer: GCF of Numerators as per given numbers 866/686, 852/914 is
GCF of Numerators i.e. for 866,852 is 2
LCM of denominators i.e. for 686,914 is 313502.
Thus, GCF of Fractions is 2/313502.Finally, GCF of Fractions for 866/686, 852/914 is 2/313502.