Use our free GCF of Fractions Calculator tool to compute the GCF of 922/497, 914/216 i.e 2/107352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/497, 914/216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/497,914/216
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 922/497,914/216, numerators are 922,914
Denominators are 497,216
The GCF of 922,914 is 2 .
LCM of 497,216 is 107352.
The greatest common factor of 922/497,914/216 = [GCF of 922,914]/[LCM of 497,216]= 2/107352
Therefore, the GCF of 922/497,914/216 is 2/107352.
To find the highest common factor of 922,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 914 are 1, 2, 457, 914
The HCF of 922,914 is 2.
Lets's calculate GCF of 922,914
2 | 922, 914 |
461, 457 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 922,914 . The biggest common factor number is the GCF number.
So the greatest common factor 922,914 is 2.
Lets's calculate LCM of 497,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 107352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107352
Therefore, the GCF of Fractions 922/497,914/216 is 2/107352
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 497,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,216) x common factors =1 x 1 = 1
LCM(497,216) = ( 497 × 216 ) / 1
LCM(497,216) = 107352 / 1
LCM(497,216) = 107352
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 922,914?
The HCF of 922,914 is 2
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 922/497, 914/216?
Answer: GCF of Numerators as per given numbers 922/497, 914/216 is
GCF of Numerators i.e. for 922,914 is 2
LCM of denominators i.e. for 497,216 is 107352.
Thus, GCF of Fractions is 2/107352.Finally, GCF of Fractions for 922/497, 914/216 is 2/107352.