Use our free GCF of Fractions Calculator tool to compute the GCF of 922/648, 506/952 i.e 2/77112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/648, 506/952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/648,506/952
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 922/648,506/952, numerators are 922,506
Denominators are 648,952
The GCF of 922,506 is 2 .
LCM of 648,952 is 77112.
The greatest common factor of 922/648,506/952 = [GCF of 922,506]/[LCM of 648,952]= 2/77112
Therefore, the GCF of 922/648,506/952 is 2/77112.
To find the highest common factor of 922,506, 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 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 922,506 is 2.
Lets's calculate GCF of 922,506
2 | 922, 506 |
461, 253 |
∴ 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 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 922,506 . The biggest common factor number is the GCF number.
So the greatest common factor 922,506 is 2.
Lets's calculate LCM of 648,952
2 | 648, 952 |
2 | 324, 476 |
2 | 162, 238 |
81, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 119 = 77112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77112
Therefore, the GCF of Fractions 922/648,506/952 is 2/77112
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 648,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,952) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(648,952) x common factors =8 x 1 = 8
LCM(648,952) = ( 648 × 952 ) / 8
LCM(648,952) = 616896 / 8
LCM(648,952) = 77112
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 922,506?
The HCF of 922,506 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 922/648, 506/952?
Answer: GCF of Numerators as per given numbers 922/648, 506/952 is
GCF of Numerators i.e. for 922,506 is 2
LCM of denominators i.e. for 648,952 is 77112.
Thus, GCF of Fractions is 2/77112.Finally, GCF of Fractions for 922/648, 506/952 is 2/77112.