Use our free GCF of Fractions Calculator tool to compute the GCF of 818/478, 452/862 i.e 2/206018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/478, 452/862.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/478,452/862
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 818/478,452/862, numerators are 818,452
Denominators are 478,862
The GCF of 818,452 is 2 .
LCM of 478,862 is 206018.
The greatest common factor of 818/478,452/862 = [GCF of 818,452]/[LCM of 478,862]= 2/206018
Therefore, the GCF of 818/478,452/862 is 2/206018.
To find the highest common factor of 818,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 818 are 1, 2, 409, 818
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 818,452 is 2.
Lets's calculate GCF of 818,452
2 | 818, 452 |
409, 226 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 818,452 . The biggest common factor number is the GCF number.
So the greatest common factor 818,452 is 2.
Lets's calculate LCM of 478,862
2 | 478, 862 |
239, 431 |
∴ So the LCM of the given numbers is 2 x 239 x 431 = 206018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/206018
Therefore, the GCF of Fractions 818/478,452/862 is 2/206018
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 478,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,862) x common factors =2 x 1 = 2
LCM(478,862) = ( 478 × 862 ) / 2
LCM(478,862) = 412036 / 2
LCM(478,862) = 206018
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 818,452?
The HCF of 818,452 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 818/478, 452/862?
Answer: GCF of Numerators as per given numbers 818/478, 452/862 is
GCF of Numerators i.e. for 818,452 is 2
LCM of denominators i.e. for 478,862 is 206018.
Thus, GCF of Fractions is 2/206018.Finally, GCF of Fractions for 818/478, 452/862 is 2/206018.