Use our free GCF of Fractions Calculator tool to compute the GCF of 996/172, 325/628 i.e 1/27004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/172, 325/628.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/172,325/628
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 996/172,325/628, numerators are 996,325
Denominators are 172,628
The GCF of 996,325 is 1 .
LCM of 172,628 is 27004.
The greatest common factor of 996/172,325/628 = [GCF of 996,325]/[LCM of 172,628]= 1/27004
Therefore, the GCF of 996/172,325/628 is 1/27004.
To find the highest common factor of 996,325, 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 325 are 1, 5, 13, 25, 65, 325
The HCF of 996,325 is 1.
Lets's calculate GCF of 996,325
∴ 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 325
:1,5,13,25,65,325
Greatest Common Factor
We found the factors 996,325 . The biggest common factor number is the GCF number.
So the greatest common factor 996,325 is 1.
Lets's calculate LCM of 172,628
2 | 172, 628 |
2 | 86, 314 |
43, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 157 = 27004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27004
Therefore, the GCF of Fractions 996/172,325/628 is 1/27004
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 172,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,628) x common factors =4 x 1 = 4
LCM(172,628) = ( 172 × 628 ) / 4
LCM(172,628) = 108016 / 4
LCM(172,628) = 27004
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,325?
The HCF of 996,325 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 996/172, 325/628?
Answer: GCF of Numerators as per given numbers 996/172, 325/628 is
GCF of Numerators i.e. for 996,325 is 1
LCM of denominators i.e. for 172,628 is 27004.
Thus, GCF of Fractions is 1/27004.Finally, GCF of Fractions for 996/172, 325/628 is 1/27004.