Use our free GCF of Fractions Calculator tool to compute the GCF of 996/898, 437/632 i.e 1/283768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/898, 437/632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/898,437/632
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 996/898,437/632, numerators are 996,437
Denominators are 898,632
The GCF of 996,437 is 1 .
LCM of 898,632 is 283768.
The greatest common factor of 996/898,437/632 = [GCF of 996,437]/[LCM of 898,632]= 1/283768
Therefore, the GCF of 996/898,437/632 is 1/283768.
To find the highest common factor of 996,437, 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 437 are 1, 19, 23, 437
The HCF of 996,437 is 1.
Lets's calculate GCF of 996,437
∴ So GCF of numbers is 1 because of no common factors present between them.
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 437
:1,19,23,437
Greatest Common Factor
We found the factors 996,437 . The biggest common factor number is the GCF number.
So the greatest common factor 996,437 is 1.
Lets's calculate LCM of 898,632
2 | 898, 632 |
449, 316 |
∴ So the LCM of the given numbers is 2 x 449 x 316 = 283768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283768
Therefore, the GCF of Fractions 996/898,437/632 is 1/283768
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 898,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,632) x common factors =2 x 1 = 2
LCM(898,632) = ( 898 × 632 ) / 2
LCM(898,632) = 567536 / 2
LCM(898,632) = 283768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,437?
The HCF of 996,437 is 1
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 996/898, 437/632?
Answer: GCF of Numerators as per given numbers 996/898, 437/632 is
GCF of Numerators i.e. for 996,437 is 1
LCM of denominators i.e. for 898,632 is 283768.
Thus, GCF of Fractions is 1/283768.Finally, GCF of Fractions for 996/898, 437/632 is 1/283768.