Use our free GCF of Fractions Calculator tool to compute the GCF of 884/367, 136/804 i.e 68/295068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/367, 136/804.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/367,136/804
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 884/367,136/804, numerators are 884,136
Denominators are 367,804
The GCF of 884,136 is 68 .
LCM of 367,804 is 295068.
The greatest common factor of 884/367,136/804 = [GCF of 884,136]/[LCM of 367,804]= 68/295068
Therefore, the GCF of 884/367,136/804 is 68/295068.
To find the highest common factor of 884,136, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136
The HCF of 884,136 is 68.
Lets's calculate GCF of 884,136
2 | 884, 136 |
2 | 442, 68 |
17 | 221, 34 |
13, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 136
:1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 884,136 . The biggest common factor number is the GCF number.
So the greatest common factor 884,136 is 68.
Lets's calculate LCM of 367,804
Given numbers has no common factors except 1. So, there LCM is their product i.e 295068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/295068
Therefore, the GCF of Fractions 884/367,136/804 is 68/295068
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 367,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,804) x common factors =1 x 1 = 1
LCM(367,804) = ( 367 × 804 ) / 1
LCM(367,804) = 295068 / 1
LCM(367,804) = 295068
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 884,136?
The HCF of 884,136 is 68
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 884/367, 136/804?
Answer: GCF of Numerators as per given numbers 884/367, 136/804 is
GCF of Numerators i.e. for 884,136 is 68
LCM of denominators i.e. for 367,804 is 295068.
Thus, GCF of Fractions is 68/295068.Finally, GCF of Fractions for 884/367, 136/804 is 68/295068.