Use our free GCF of Fractions Calculator tool to compute the GCF of 26/372, 65/390, 643/391 i.e 1/9454380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/372, 65/390, 643/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/372,65/390,643/391
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 26/372,65/390,643/391, numerators are 26,65,643
Denominators are 372,390,391
The GCF of 26,65,643 is 1 .
LCM of 372,390,391 is 9454380.
The greatest common factor of 26/372,65/390,643/391 = [GCF of 26,65,643]/[LCM of 372,390,391]= 1/9454380
Therefore, the GCF of 26/372,65/390,643/391 is 1/9454380.
To find the highest common factor of 26,65,643, 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 65 are 1, 5, 13, 65
The factors of 643 are 1, 643
The HCF of 26,65,643 is 1.
Lets's calculate GCF of 26,65,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 643
:1,643
Greatest Common Factor
We found the factors 26,65,643 . The biggest common factor number is the GCF number.
So the greatest common factor 26,65,643 is 1.
Lets's calculate LCM of 372,390,391
2 | 372, 390, 391 |
3 | 186, 195, 391 |
62, 65, 391 |
∴ So the LCM of the given numbers is 2 x 3 x 62 x 65 x 391 = 9454380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9454380
Therefore, the GCF of Fractions 26/372,65/390,643/391 is 1/9454380
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 372,390,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,390,391) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(372,390,391) x common factors =1 x 6 = 6
LCM(372,390,391) = ( 372 × 390 × 391 ) / 6
LCM(372,390,391) = 56726280 / 6
LCM(372,390,391) = 9454380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,65,643?
The HCF of 26,65,643 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 26/372, 65/390, 643/391?
Answer: GCF of Numerators as per given numbers 26/372, 65/390, 643/391 is
GCF of Numerators i.e. for 26,65,643 is 1
LCM of denominators i.e. for 372,390,391 is 9454380.
Thus, GCF of Fractions is 1/9454380.Finally, GCF of Fractions for 26/372, 65/390, 643/391 is 1/9454380.