Use our free GCF of Fractions Calculator tool to compute the GCF of 807/444, 940/108, 276/567 i.e 1/83916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/444, 940/108, 276/567.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/444,940/108,276/567
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 807/444,940/108,276/567, numerators are 807,940,276
Denominators are 444,108,567
The GCF of 807,940,276 is 1 .
LCM of 444,108,567 is 83916.
The greatest common factor of 807/444,940/108,276/567 = [GCF of 807,940,276]/[LCM of 444,108,567]= 1/83916
Therefore, the GCF of 807/444,940/108,276/567 is 1/83916.
To find the highest common factor of 807,940,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 807,940,276 is 1.
Lets's calculate GCF of 807,940,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 807,940,276 . The biggest common factor number is the GCF number.
So the greatest common factor 807,940,276 is 1.
Lets's calculate LCM of 444,108,567
2 | 444, 108, 567 |
2 | 222, 54, 567 |
3 | 111, 27, 567 |
3 | 37, 9, 189 |
3 | 37, 3, 63 |
37, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 37 x 1 x 21 = 83916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83916
Therefore, the GCF of Fractions 807/444,940/108,276/567 is 1/83916
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 444,108,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,108,567) = 3
common factors(in case of two or more numbers have common factors) = 108
GCF(444,108,567) x common factors =3 x 108 = 324
LCM(444,108,567) = ( 444 × 108 × 567 ) / 324
LCM(444,108,567) = 27188784 / 324
LCM(444,108,567) = 83916
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 807,940,276?
The HCF of 807,940,276 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 807/444, 940/108, 276/567?
Answer: GCF of Numerators as per given numbers 807/444, 940/108, 276/567 is
GCF of Numerators i.e. for 807,940,276 is 1
LCM of denominators i.e. for 444,108,567 is 83916.
Thus, GCF of Fractions is 1/83916.Finally, GCF of Fractions for 807/444, 940/108, 276/567 is 1/83916.