Use our free GCF of Fractions Calculator tool to compute the GCF of 410/802, 858/852 i.e 2/341652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/802, 858/852.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/802,858/852
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 410/802,858/852, numerators are 410,858
Denominators are 802,852
The GCF of 410,858 is 2 .
LCM of 802,852 is 341652.
The greatest common factor of 410/802,858/852 = [GCF of 410,858]/[LCM of 802,852]= 2/341652
Therefore, the GCF of 410/802,858/852 is 2/341652.
To find the highest common factor of 410,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 410,858 is 2.
Lets's calculate GCF of 410,858
2 | 410, 858 |
205, 429 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 410,858 . The biggest common factor number is the GCF number.
So the greatest common factor 410,858 is 2.
Lets's calculate LCM of 802,852
2 | 802, 852 |
401, 426 |
∴ So the LCM of the given numbers is 2 x 401 x 426 = 341652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/341652
Therefore, the GCF of Fractions 410/802,858/852 is 2/341652
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 802,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,852) x common factors =2 x 1 = 2
LCM(802,852) = ( 802 × 852 ) / 2
LCM(802,852) = 683304 / 2
LCM(802,852) = 341652
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 410,858?
The HCF of 410,858 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 410/802, 858/852?
Answer: GCF of Numerators as per given numbers 410/802, 858/852 is
GCF of Numerators i.e. for 410,858 is 2
LCM of denominators i.e. for 802,852 is 341652.
Thus, GCF of Fractions is 2/341652.Finally, GCF of Fractions for 410/802, 858/852 is 2/341652.