GCF of 458/558, 711/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 458/558, 711/558 i.e 1/558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 458/558, 711/558.
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 458/558,711/558?
Given fractions are 458/558,711/558
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 458/558,711/558, numerators are 458,711
Denominators are 558,558
The GCF of 458,711 is 1 .
LCM of 558,558 is 558.
The greatest common factor of 458/558,711/558 = [GCF of 458,711]/[LCM of 558,558]= 1/558
Therefore, the GCF of 458/558,711/558 is 1/558.
To find the highest common factor of 458,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 458 are 1, 2, 229, 458
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 458,711 is 1.
Lets's calculate GCF of 458,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 458,711 By Matching Biggest Common Factor Method
Now, list down the factors of 458
:1,2,229,458
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 458,711 . The biggest common factor number is the GCF number.
So the greatest common factor 458,711 is 1.
Lets's calculate LCM of 558,558
| 2 | 558, 558 |
| 3 | 279, 279 |
| 3 | 93, 93 |
| 31 | 31, 31 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 1 x 1 = 558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558
Therefore, the GCF of Fractions 458/558,711/558 is 1/558
Least Common Multiple of 558,558 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 558,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,558) = 558
common factors(in case of two or more numbers have common factors) = 1
GCF(558,558) x common factors =558 x 1 = 558
LCM(558,558) = ( 558 × 558 ) / 558
LCM(558,558) = 311364 / 558
LCM(558,558) = 558
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 458/558, 711/558
1. What is the HCF of 458,711?
The HCF of 458,711 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 458/558, 711/558?
Answer: GCF of Numerators as per given numbers 458/558, 711/558 is
GCF of Numerators i.e. for 458,711 is 1
LCM of denominators i.e. for 558,558 is 558.
Thus, GCF of Fractions is 1/558.Finally, GCF of Fractions for 458/558, 711/558 is 1/558.