Use our free GCF of Fractions Calculator tool to compute the GCF of 26/51, 491/60, 717/175 i.e 1/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/51, 491/60, 717/175.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/51,491/60,717/175
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 26/51,491/60,717/175, numerators are 26,491,717
Denominators are 51,60,175
The GCF of 26,491,717 is 1 .
LCM of 51,60,175 is 35700.
The greatest common factor of 26/51,491/60,717/175 = [GCF of 26,491,717]/[LCM of 51,60,175]= 1/35700
Therefore, the GCF of 26/51,491/60,717/175 is 1/35700.
To find the highest common factor of 26,491,717, 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 491 are 1, 491
The factors of 717 are 1, 3, 239, 717
The HCF of 26,491,717 is 1.
Lets's calculate GCF of 26,491,717
∴ 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 491
:1,491
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 26,491,717 . The biggest common factor number is the GCF number.
So the greatest common factor 26,491,717 is 1.
Lets's calculate LCM of 51,60,175
3 | 51, 60, 175 |
5 | 17, 20, 175 |
17, 4, 35 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 4 x 35 = 35700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35700
Therefore, the GCF of Fractions 26/51,491/60,717/175 is 1/35700
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 51,60,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,60,175) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(51,60,175) x common factors =1 x 15 = 15
LCM(51,60,175) = ( 51 × 60 × 175 ) / 15
LCM(51,60,175) = 535500 / 15
LCM(51,60,175) = 35700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,491,717?
The HCF of 26,491,717 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 26/51, 491/60, 717/175?
Answer: GCF of Numerators as per given numbers 26/51, 491/60, 717/175 is
GCF of Numerators i.e. for 26,491,717 is 1
LCM of denominators i.e. for 51,60,175 is 35700.
Thus, GCF of Fractions is 1/35700.Finally, GCF of Fractions for 26/51, 491/60, 717/175 is 1/35700.