Use our free GCF of Fractions Calculator tool to compute the GCF of 26/710, 16/660, 323/861 i.e 1/13448820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/710, 16/660, 323/861.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/710,16/660,323/861
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 26/710,16/660,323/861, numerators are 26,16,323
Denominators are 710,660,861
The GCF of 26,16,323 is 1 .
LCM of 710,660,861 is 13448820.
The greatest common factor of 26/710,16/660,323/861 = [GCF of 26,16,323]/[LCM of 710,660,861]= 1/13448820
Therefore, the GCF of 26/710,16/660,323/861 is 1/13448820.
To find the highest common factor of 26,16,323, 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 16 are 1, 2, 4, 8, 16
The factors of 323 are 1, 17, 19, 323
The HCF of 26,16,323 is 1.
Lets's calculate GCF of 26,16,323
∴ 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 16
:1,2,4,8,16
Now, list down the factors of 323
:1,17,19,323
Greatest Common Factor
We found the factors 26,16,323 . The biggest common factor number is the GCF number.
So the greatest common factor 26,16,323 is 1.
Lets's calculate LCM of 710,660,861
2 | 710, 660, 861 |
3 | 355, 330, 861 |
5 | 355, 110, 287 |
71, 22, 287 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 71 x 22 x 287 = 13448820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13448820
Therefore, the GCF of Fractions 26/710,16/660,323/861 is 1/13448820
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 710,660,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,660,861) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(710,660,861) x common factors =1 x 30 = 30
LCM(710,660,861) = ( 710 × 660 × 861 ) / 30
LCM(710,660,861) = 403464600 / 30
LCM(710,660,861) = 13448820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,16,323?
The HCF of 26,16,323 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 26/710, 16/660, 323/861?
Answer: GCF of Numerators as per given numbers 26/710, 16/660, 323/861 is
GCF of Numerators i.e. for 26,16,323 is 1
LCM of denominators i.e. for 710,660,861 is 13448820.
Thus, GCF of Fractions is 1/13448820.Finally, GCF of Fractions for 26/710, 16/660, 323/861 is 1/13448820.