Use our free GCF of Fractions Calculator tool to compute the GCF of 922/504, 992/378 i.e 2/1512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/504, 992/378.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/504,992/378
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 922/504,992/378, numerators are 922,992
Denominators are 504,378
The GCF of 922,992 is 2 .
LCM of 504,378 is 1512.
The greatest common factor of 922/504,992/378 = [GCF of 922,992]/[LCM of 504,378]= 2/1512
Therefore, the GCF of 922/504,992/378 is 2/1512.
To find the highest common factor of 922,992, 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 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 922,992 is 2.
Lets's calculate GCF of 922,992
2 | 922, 992 |
461, 496 |
∴ 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 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 922,992 . The biggest common factor number is the GCF number.
So the greatest common factor 922,992 is 2.
Lets's calculate LCM of 504,378
2 | 504, 378 |
3 | 252, 189 |
3 | 84, 63 |
7 | 28, 21 |
4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 4 x 3 = 1512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1512
Therefore, the GCF of Fractions 922/504,992/378 is 2/1512
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 504,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,378) = 126
common factors(in case of two or more numbers have common factors) = 1
GCF(504,378) x common factors =126 x 1 = 126
LCM(504,378) = ( 504 × 378 ) / 126
LCM(504,378) = 190512 / 126
LCM(504,378) = 1512
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 922,992?
The HCF of 922,992 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 922/504, 992/378?
Answer: GCF of Numerators as per given numbers 922/504, 992/378 is
GCF of Numerators i.e. for 922,992 is 2
LCM of denominators i.e. for 504,378 is 1512.
Thus, GCF of Fractions is 2/1512.Finally, GCF of Fractions for 922/504, 992/378 is 2/1512.