Use our free GCF of Fractions Calculator tool to compute the GCF of 71/39, 497/26, 654/856 i.e 1/33384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/39, 497/26, 654/856.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/39,497/26,654/856
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 71/39,497/26,654/856, numerators are 71,497,654
Denominators are 39,26,856
The GCF of 71,497,654 is 1 .
LCM of 39,26,856 is 33384.
The greatest common factor of 71/39,497/26,654/856 = [GCF of 71,497,654]/[LCM of 39,26,856]= 1/33384
Therefore, the GCF of 71/39,497/26,654/856 is 1/33384.
To find the highest common factor of 71,497,654, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 497 are 1, 7, 71, 497
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The HCF of 71,497,654 is 1.
Lets's calculate GCF of 71,497,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 71,497,654 . The biggest common factor number is the GCF number.
So the greatest common factor 71,497,654 is 1.
Lets's calculate LCM of 39,26,856
2 | 39, 26, 856 |
13 | 39, 13, 428 |
3, 1, 428 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 1 x 428 = 33384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33384
Therefore, the GCF of Fractions 71/39,497/26,654/856 is 1/33384
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 39,26,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,26,856) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(39,26,856) x common factors =1 x 26 = 26
LCM(39,26,856) = ( 39 × 26 × 856 ) / 26
LCM(39,26,856) = 867984 / 26
LCM(39,26,856) = 33384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,497,654?
The HCF of 71,497,654 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 71/39, 497/26, 654/856?
Answer: GCF of Numerators as per given numbers 71/39, 497/26, 654/856 is
GCF of Numerators i.e. for 71,497,654 is 1
LCM of denominators i.e. for 39,26,856 is 33384.
Thus, GCF of Fractions is 1/33384.Finally, GCF of Fractions for 71/39, 497/26, 654/856 is 1/33384.