Use our free GCF of Fractions Calculator tool to compute the GCF of 14/707, 782/231, 122/408 i.e 2/3173016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/707, 782/231, 122/408.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/707,782/231,122/408
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 14/707,782/231,122/408, numerators are 14,782,122
Denominators are 707,231,408
The GCF of 14,782,122 is 2 .
LCM of 707,231,408 is 3173016.
The greatest common factor of 14/707,782/231,122/408 = [GCF of 14,782,122]/[LCM of 707,231,408]= 2/3173016
Therefore, the GCF of 14/707,782/231,122/408 is 2/3173016.
To find the highest common factor of 14,782,122, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The factors of 122 are 1, 2, 61, 122
The HCF of 14,782,122 is 2.
Lets's calculate GCF of 14,782,122
2 | 14, 782, 122 |
7, 391, 61 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Now, list down the factors of 122
:1,2,61,122
Greatest Common Factor
We found the factors 14,782,122 . The biggest common factor number is the GCF number.
So the greatest common factor 14,782,122 is 2.
Lets's calculate LCM of 707,231,408
3 | 707, 231, 408 |
7 | 707, 77, 136 |
101, 11, 136 |
∴ So the LCM of the given numbers is 3 x 7 x 101 x 11 x 136 = 3173016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3173016
Therefore, the GCF of Fractions 14/707,782/231,122/408 is 2/3173016
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 707,231,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,231,408) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(707,231,408) x common factors =1 x 21 = 21
LCM(707,231,408) = ( 707 × 231 × 408 ) / 21
LCM(707,231,408) = 66633336 / 21
LCM(707,231,408) = 3173016
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,782,122?
The HCF of 14,782,122 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 14/707, 782/231, 122/408?
Answer: GCF of Numerators as per given numbers 14/707, 782/231, 122/408 is
GCF of Numerators i.e. for 14,782,122 is 2
LCM of denominators i.e. for 707,231,408 is 3173016.
Thus, GCF of Fractions is 2/3173016.Finally, GCF of Fractions for 14/707, 782/231, 122/408 is 2/3173016.