GCF of 51/586, 33/526, 451/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 51/586, 33/526, 451/121 i.e 1/18648278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/586, 33/526, 451/121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 51/586,33/526,451/121?
Given fractions are 51/586,33/526,451/121
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 51/586,33/526,451/121, numerators are 51,33,451
Denominators are 586,526,121
The GCF of 51,33,451 is 1 .
LCM of 586,526,121 is 18648278.
The greatest common factor of 51/586,33/526,451/121 = [GCF of 51,33,451]/[LCM of 586,526,121]= 1/18648278
Therefore, the GCF of 51/586,33/526,451/121 is 1/18648278.
To find the highest common factor of 51,33,451, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 33 are 1, 3, 11, 33
The factors of 451 are 1, 11, 41, 451
The HCF of 51,33,451 is 1.
Lets's calculate GCF of 51,33,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 51,33,451 By Matching Biggest Common Factor Method
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 451
:1,11,41,451
Greatest Common Factor
We found the factors 51,33,451 . The biggest common factor number is the GCF number.
So the greatest common factor 51,33,451 is 1.
Lets's calculate LCM of 586,526,121
| 2 | 586, 526, 121 |
| 293, 263, 121 |
∴ So the LCM of the given numbers is 2 x 293 x 263 x 121 = 18648278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18648278
Therefore, the GCF of Fractions 51/586,33/526,451/121 is 1/18648278
Least Common Multiple of 586,526,121 with GCF Formula
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 586,526,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,526,121) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(586,526,121) x common factors =1 x 2 = 2
LCM(586,526,121) = ( 586 × 526 × 121 ) / 2
LCM(586,526,121) = 37296556 / 2
LCM(586,526,121) = 18648278
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FAQs on GCF of Fractions of 51/586, 33/526, 451/121
1. What is the HCF of 51,33,451?
The HCF of 51,33,451 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 51/586, 33/526, 451/121?
Answer: GCF of Numerators as per given numbers 51/586, 33/526, 451/121 is
GCF of Numerators i.e. for 51,33,451 is 1
LCM of denominators i.e. for 586,526,121 is 18648278.
Thus, GCF of Fractions is 1/18648278.Finally, GCF of Fractions for 51/586, 33/526, 451/121 is 1/18648278.