Use our free GCF of Fractions Calculator tool to compute the GCF of 460/613, 682/868 i.e 2/532084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 460/613, 682/868.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/613,682/868
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 460/613,682/868, numerators are 460,682
Denominators are 613,868
The GCF of 460,682 is 2 .
LCM of 613,868 is 532084.
The greatest common factor of 460/613,682/868 = [GCF of 460,682]/[LCM of 613,868]= 2/532084
Therefore, the GCF of 460/613,682/868 is 2/532084.
To find the highest common factor of 460,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 460,682 is 2.
Lets's calculate GCF of 460,682
2 | 460, 682 |
230, 341 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 460,682 . The biggest common factor number is the GCF number.
So the greatest common factor 460,682 is 2.
Lets's calculate LCM of 613,868
Given numbers has no common factors except 1. So, there LCM is their product i.e 532084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/532084
Therefore, the GCF of Fractions 460/613,682/868 is 2/532084
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 613,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,868) x common factors =1 x 1 = 1
LCM(613,868) = ( 613 × 868 ) / 1
LCM(613,868) = 532084 / 1
LCM(613,868) = 532084
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 460,682?
The HCF of 460,682 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 460/613, 682/868?
Answer: GCF of Numerators as per given numbers 460/613, 682/868 is
GCF of Numerators i.e. for 460,682 is 2
LCM of denominators i.e. for 613,868 is 532084.
Thus, GCF of Fractions is 2/532084.Finally, GCF of Fractions for 460/613, 682/868 is 2/532084.