Use our free GCF of Fractions Calculator tool to compute the GCF of 14/65, 782/59, 648/899 i.e 2/3447665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/65, 782/59, 648/899.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/65,782/59,648/899
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 14/65,782/59,648/899, numerators are 14,782,648
Denominators are 65,59,899
The GCF of 14,782,648 is 2 .
LCM of 65,59,899 is 3447665.
The greatest common factor of 14/65,782/59,648/899 = [GCF of 14,782,648]/[LCM of 65,59,899]= 2/3447665
Therefore, the GCF of 14/65,782/59,648/899 is 2/3447665.
To find the highest common factor of 14,782,648, 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 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 14,782,648 is 2.
Lets's calculate GCF of 14,782,648
2 | 14, 782, 648 |
7, 391, 324 |
∴ 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 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 14,782,648 . The biggest common factor number is the GCF number.
So the greatest common factor 14,782,648 is 2.
Lets's calculate LCM of 65,59,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 3447665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3447665
Therefore, the GCF of Fractions 14/65,782/59,648/899 is 2/3447665
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 65,59,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,59,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,59,899) x common factors =1 x 1 = 1
LCM(65,59,899) = ( 65 × 59 × 899 ) / 1
LCM(65,59,899) = 3447665 / 1
LCM(65,59,899) = 3447665
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,782,648?
The HCF of 14,782,648 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 14/65, 782/59, 648/899?
Answer: GCF of Numerators as per given numbers 14/65, 782/59, 648/899 is
GCF of Numerators i.e. for 14,782,648 is 2
LCM of denominators i.e. for 65,59,899 is 3447665.
Thus, GCF of Fractions is 2/3447665.Finally, GCF of Fractions for 14/65, 782/59, 648/899 is 2/3447665.