Use our free GCF of Fractions Calculator tool to compute the GCF of 55/61, 229/32, 717/451 i.e 1/880352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/61, 229/32, 717/451.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/61,229/32,717/451
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 55/61,229/32,717/451, numerators are 55,229,717
Denominators are 61,32,451
The GCF of 55,229,717 is 1 .
LCM of 61,32,451 is 880352.
The greatest common factor of 55/61,229/32,717/451 = [GCF of 55,229,717]/[LCM of 61,32,451]= 1/880352
Therefore, the GCF of 55/61,229/32,717/451 is 1/880352.
To find the highest common factor of 55,229,717, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 229 are 1, 229
The factors of 717 are 1, 3, 239, 717
The HCF of 55,229,717 is 1.
Lets's calculate GCF of 55,229,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 229
:1,229
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 55,229,717 . The biggest common factor number is the GCF number.
So the greatest common factor 55,229,717 is 1.
Lets's calculate LCM of 61,32,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 880352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/880352
Therefore, the GCF of Fractions 55/61,229/32,717/451 is 1/880352
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 61,32,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,32,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,32,451) x common factors =1 x 1 = 1
LCM(61,32,451) = ( 61 × 32 × 451 ) / 1
LCM(61,32,451) = 880352 / 1
LCM(61,32,451) = 880352
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,229,717?
The HCF of 55,229,717 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 55/61, 229/32, 717/451?
Answer: GCF of Numerators as per given numbers 55/61, 229/32, 717/451 is
GCF of Numerators i.e. for 55,229,717 is 1
LCM of denominators i.e. for 61,32,451 is 880352.
Thus, GCF of Fractions is 1/880352.Finally, GCF of Fractions for 55/61, 229/32, 717/451 is 1/880352.