Use our free GCF of Fractions Calculator tool to compute the GCF of 904/634, 215/766 i.e 1/242822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/634, 215/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 904/634,215/766
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 904/634,215/766, numerators are 904,215
Denominators are 634,766
The GCF of 904,215 is 1 .
LCM of 634,766 is 242822.
The greatest common factor of 904/634,215/766 = [GCF of 904,215]/[LCM of 634,766]= 1/242822
Therefore, the GCF of 904/634,215/766 is 1/242822.
To find the highest common factor of 904,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 215 are 1, 5, 43, 215
The HCF of 904,215 is 1.
Lets's calculate GCF of 904,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 904,215 . The biggest common factor number is the GCF number.
So the greatest common factor 904,215 is 1.
Lets's calculate LCM of 634,766
2 | 634, 766 |
317, 383 |
∴ So the LCM of the given numbers is 2 x 317 x 383 = 242822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242822
Therefore, the GCF of Fractions 904/634,215/766 is 1/242822
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 634,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,766) x common factors =2 x 1 = 2
LCM(634,766) = ( 634 × 766 ) / 2
LCM(634,766) = 485644 / 2
LCM(634,766) = 242822
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 904,215?
The HCF of 904,215 is 1
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 904/634, 215/766?
Answer: GCF of Numerators as per given numbers 904/634, 215/766 is
GCF of Numerators i.e. for 904,215 is 1
LCM of denominators i.e. for 634,766 is 242822.
Thus, GCF of Fractions is 1/242822.Finally, GCF of Fractions for 904/634, 215/766 is 1/242822.