Use our free GCF of Fractions Calculator tool to compute the GCF of 222/369, 204/878 i.e 6/323982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/369, 204/878.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/369,204/878
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 222/369,204/878, numerators are 222,204
Denominators are 369,878
The GCF of 222,204 is 6 .
LCM of 369,878 is 323982.
The greatest common factor of 222/369,204/878 = [GCF of 222,204]/[LCM of 369,878]= 6/323982
Therefore, the GCF of 222/369,204/878 is 6/323982.
To find the highest common factor of 222,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 222,204 is 6.
Lets's calculate GCF of 222,204
2 | 222, 204 |
3 | 111, 102 |
37, 34 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 222,204 . The biggest common factor number is the GCF number.
So the greatest common factor 222,204 is 6.
Lets's calculate LCM of 369,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 323982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/323982
Therefore, the GCF of Fractions 222/369,204/878 is 6/323982
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 369,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,878) x common factors =1 x 1 = 1
LCM(369,878) = ( 369 × 878 ) / 1
LCM(369,878) = 323982 / 1
LCM(369,878) = 323982
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 222,204?
The HCF of 222,204 is 6
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 222/369, 204/878?
Answer: GCF of Numerators as per given numbers 222/369, 204/878 is
GCF of Numerators i.e. for 222,204 is 6
LCM of denominators i.e. for 369,878 is 323982.
Thus, GCF of Fractions is 6/323982.Finally, GCF of Fractions for 222/369, 204/878 is 6/323982.