Use our free GCF of Fractions Calculator tool to compute the GCF of 455/454, 378/984 i.e 7/223368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/454, 378/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/454,378/984
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 455/454,378/984, numerators are 455,378
Denominators are 454,984
The GCF of 455,378 is 7 .
LCM of 454,984 is 223368.
The greatest common factor of 455/454,378/984 = [GCF of 455,378]/[LCM of 454,984]= 7/223368
Therefore, the GCF of 455/454,378/984 is 7/223368.
To find the highest common factor of 455,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 455,378 is 7.
Lets's calculate GCF of 455,378
7 | 455, 378 |
65, 54 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
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 455,378 . The biggest common factor number is the GCF number.
So the greatest common factor 455,378 is 7.
Lets's calculate LCM of 454,984
2 | 454, 984 |
227, 492 |
∴ So the LCM of the given numbers is 2 x 227 x 492 = 223368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/223368
Therefore, the GCF of Fractions 455/454,378/984 is 7/223368
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 454,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,984) x common factors =2 x 1 = 2
LCM(454,984) = ( 454 × 984 ) / 2
LCM(454,984) = 446736 / 2
LCM(454,984) = 223368
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 455,378?
The HCF of 455,378 is 7
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 455/454, 378/984?
Answer: GCF of Numerators as per given numbers 455/454, 378/984 is
GCF of Numerators i.e. for 455,378 is 7
LCM of denominators i.e. for 454,984 is 223368.
Thus, GCF of Fractions is 7/223368.Finally, GCF of Fractions for 455/454, 378/984 is 7/223368.