Use our free GCF of Fractions Calculator tool to compute the GCF of 26/595, 514/414, 346/659 i.e 2/162331470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/595, 514/414, 346/659.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/595,514/414,346/659
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 26/595,514/414,346/659, numerators are 26,514,346
Denominators are 595,414,659
The GCF of 26,514,346 is 2 .
LCM of 595,414,659 is 162331470.
The greatest common factor of 26/595,514/414,346/659 = [GCF of 26,514,346]/[LCM of 595,414,659]= 2/162331470
Therefore, the GCF of 26/595,514/414,346/659 is 2/162331470.
To find the highest common factor of 26,514,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 514 are 1, 2, 257, 514
The factors of 346 are 1, 2, 173, 346
The HCF of 26,514,346 is 2.
Lets's calculate GCF of 26,514,346
2 | 26, 514, 346 |
13, 257, 173 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 514
:1,2,257,514
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 26,514,346 . The biggest common factor number is the GCF number.
So the greatest common factor 26,514,346 is 2.
Lets's calculate LCM of 595,414,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 162331470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162331470
Therefore, the GCF of Fractions 26/595,514/414,346/659 is 2/162331470
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 595,414,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,414,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,414,659) x common factors =1 x 1 = 1
LCM(595,414,659) = ( 595 × 414 × 659 ) / 1
LCM(595,414,659) = 162331470 / 1
LCM(595,414,659) = 162331470
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,514,346?
The HCF of 26,514,346 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 26/595, 514/414, 346/659?
Answer: GCF of Numerators as per given numbers 26/595, 514/414, 346/659 is
GCF of Numerators i.e. for 26,514,346 is 2
LCM of denominators i.e. for 595,414,659 is 162331470.
Thus, GCF of Fractions is 2/162331470.Finally, GCF of Fractions for 26/595, 514/414, 346/659 is 2/162331470.