Use our free GCF of Fractions Calculator tool to compute the GCF of 818/618, 840/662 i.e 2/204558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/618, 840/662.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/618,840/662
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 818/618,840/662, numerators are 818,840
Denominators are 618,662
The GCF of 818,840 is 2 .
LCM of 618,662 is 204558.
The greatest common factor of 818/618,840/662 = [GCF of 818,840]/[LCM of 618,662]= 2/204558
Therefore, the GCF of 818/618,840/662 is 2/204558.
To find the highest common factor of 818,840, 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 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 818,840 is 2.
Lets's calculate GCF of 818,840
2 | 818, 840 |
409, 420 |
∴ 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 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 818,840 . The biggest common factor number is the GCF number.
So the greatest common factor 818,840 is 2.
Lets's calculate LCM of 618,662
2 | 618, 662 |
309, 331 |
∴ So the LCM of the given numbers is 2 x 309 x 331 = 204558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/204558
Therefore, the GCF of Fractions 818/618,840/662 is 2/204558
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 618,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,662) x common factors =2 x 1 = 2
LCM(618,662) = ( 618 × 662 ) / 2
LCM(618,662) = 409116 / 2
LCM(618,662) = 204558
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 818,840?
The HCF of 818,840 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 818/618, 840/662?
Answer: GCF of Numerators as per given numbers 818/618, 840/662 is
GCF of Numerators i.e. for 818,840 is 2
LCM of denominators i.e. for 618,662 is 204558.
Thus, GCF of Fractions is 2/204558.Finally, GCF of Fractions for 818/618, 840/662 is 2/204558.