Use our free GCF of Fractions Calculator tool to compute the GCF of 522/307, 496/628 i.e 2/192796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 522/307, 496/628.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 522/307,496/628
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 522/307,496/628, numerators are 522,496
Denominators are 307,628
The GCF of 522,496 is 2 .
LCM of 307,628 is 192796.
The greatest common factor of 522/307,496/628 = [GCF of 522,496]/[LCM of 307,628]= 2/192796
Therefore, the GCF of 522/307,496/628 is 2/192796.
To find the highest common factor of 522,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 522,496 is 2.
Lets's calculate GCF of 522,496
2 | 522, 496 |
261, 248 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 522
:1,2,3,6,9,18,29,58,87,174,261,522
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 522,496 . The biggest common factor number is the GCF number.
So the greatest common factor 522,496 is 2.
Lets's calculate LCM of 307,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 192796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192796
Therefore, the GCF of Fractions 522/307,496/628 is 2/192796
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 307,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,628) x common factors =1 x 1 = 1
LCM(307,628) = ( 307 × 628 ) / 1
LCM(307,628) = 192796 / 1
LCM(307,628) = 192796
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 522,496?
The HCF of 522,496 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 522/307, 496/628?
Answer: GCF of Numerators as per given numbers 522/307, 496/628 is
GCF of Numerators i.e. for 522,496 is 2
LCM of denominators i.e. for 307,628 is 192796.
Thus, GCF of Fractions is 2/192796.Finally, GCF of Fractions for 522/307, 496/628 is 2/192796.