Use our free GCF of Fractions Calculator tool to compute the GCF of 26/527, 87/546, 406/217 i.e 1/287742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/527, 87/546, 406/217.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/527,87/546,406/217
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 26/527,87/546,406/217, numerators are 26,87,406
Denominators are 527,546,217
The GCF of 26,87,406 is 1 .
LCM of 527,546,217 is 287742.
The greatest common factor of 26/527,87/546,406/217 = [GCF of 26,87,406]/[LCM of 527,546,217]= 1/287742
Therefore, the GCF of 26/527,87/546,406/217 is 1/287742.
To find the highest common factor of 26,87,406, 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 87 are 1, 3, 29, 87
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 26,87,406 is 1.
Lets's calculate GCF of 26,87,406
∴ 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 87
:1,3,29,87
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 26,87,406 . The biggest common factor number is the GCF number.
So the greatest common factor 26,87,406 is 1.
Lets's calculate LCM of 527,546,217
7 | 527, 546, 217 |
31 | 527, 78, 31 |
17, 78, 1 |
∴ So the LCM of the given numbers is 7 x 31 x 17 x 78 x 1 = 287742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287742
Therefore, the GCF of Fractions 26/527,87/546,406/217 is 1/287742
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 527,546,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,546,217) = 1
common factors(in case of two or more numbers have common factors) = 217
GCF(527,546,217) x common factors =1 x 217 = 217
LCM(527,546,217) = ( 527 × 546 × 217 ) / 217
LCM(527,546,217) = 62440014 / 217
LCM(527,546,217) = 287742
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,87,406?
The HCF of 26,87,406 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 26/527, 87/546, 406/217?
Answer: GCF of Numerators as per given numbers 26/527, 87/546, 406/217 is
GCF of Numerators i.e. for 26,87,406 is 1
LCM of denominators i.e. for 527,546,217 is 287742.
Thus, GCF of Fractions is 1/287742.Finally, GCF of Fractions for 26/527, 87/546, 406/217 is 1/287742.