Use our free GCF of Fractions Calculator tool to compute the GCF of 888/420, 378/517 i.e 6/217140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/420, 378/517.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 888/420,378/517
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 888/420,378/517, numerators are 888,378
Denominators are 420,517
The GCF of 888,378 is 6 .
LCM of 420,517 is 217140.
The greatest common factor of 888/420,378/517 = [GCF of 888,378]/[LCM of 420,517]= 6/217140
Therefore, the GCF of 888/420,378/517 is 6/217140.
To find the highest common factor of 888,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 888,378 is 6.
Lets's calculate GCF of 888,378
2 | 888, 378 |
3 | 444, 189 |
148, 63 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 888
:1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 888,378 . The biggest common factor number is the GCF number.
So the greatest common factor 888,378 is 6.
Lets's calculate LCM of 420,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 217140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/217140
Therefore, the GCF of Fractions 888/420,378/517 is 6/217140
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 420,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,517) x common factors =1 x 1 = 1
LCM(420,517) = ( 420 × 517 ) / 1
LCM(420,517) = 217140 / 1
LCM(420,517) = 217140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 888,378?
The HCF of 888,378 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 888/420, 378/517?
Answer: GCF of Numerators as per given numbers 888/420, 378/517 is
GCF of Numerators i.e. for 888,378 is 6
LCM of denominators i.e. for 420,517 is 217140.
Thus, GCF of Fractions is 6/217140.Finally, GCF of Fractions for 888/420, 378/517 is 6/217140.