Use our free GCF of Fractions Calculator tool to compute the GCF of 996/906, 122/251 i.e 2/227406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/906, 122/251.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/906,122/251
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 996/906,122/251, numerators are 996,122
Denominators are 906,251
The GCF of 996,122 is 2 .
LCM of 906,251 is 227406.
The greatest common factor of 996/906,122/251 = [GCF of 996,122]/[LCM of 906,251]= 2/227406
Therefore, the GCF of 996/906,122/251 is 2/227406.
To find the highest common factor of 996,122, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 122 are 1, 2, 61, 122
The HCF of 996,122 is 2.
Lets's calculate GCF of 996,122
2 | 996, 122 |
498, 61 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 122
:1,2,61,122
Greatest Common Factor
We found the factors 996,122 . The biggest common factor number is the GCF number.
So the greatest common factor 996,122 is 2.
Lets's calculate LCM of 906,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 227406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227406
Therefore, the GCF of Fractions 996/906,122/251 is 2/227406
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 906,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,251) x common factors =1 x 1 = 1
LCM(906,251) = ( 906 × 251 ) / 1
LCM(906,251) = 227406 / 1
LCM(906,251) = 227406
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,122?
The HCF of 996,122 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 996/906, 122/251?
Answer: GCF of Numerators as per given numbers 996/906, 122/251 is
GCF of Numerators i.e. for 996,122 is 2
LCM of denominators i.e. for 906,251 is 227406.
Thus, GCF of Fractions is 2/227406.Finally, GCF of Fractions for 996/906, 122/251 is 2/227406.