GCF of 229/934, 582/447, 690/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 229/934, 582/447, 690/558 i.e 1/38827314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/934, 582/447, 690/558.
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 229/934,582/447,690/558?
Given fractions are 229/934,582/447,690/558
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 229/934,582/447,690/558, numerators are 229,582,690
Denominators are 934,447,558
The GCF of 229,582,690 is 1 .
LCM of 934,447,558 is 38827314.
The greatest common factor of 229/934,582/447,690/558 = [GCF of 229,582,690]/[LCM of 934,447,558]= 1/38827314
Therefore, the GCF of 229/934,582/447,690/558 is 1/38827314.
To find the highest common factor of 229,582,690, we have to find the factors of both numbers and list the highest common factor.
The factors of 229 are 1, 229
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
The HCF of 229,582,690 is 1.
Lets's calculate GCF of 229,582,690
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 229,582,690 By Matching Biggest Common Factor Method
Now, list down the factors of 229
:1,229
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 690
:1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 229,582,690 . The biggest common factor number is the GCF number.
So the greatest common factor 229,582,690 is 1.
Lets's calculate LCM of 934,447,558
| 2 | 934, 447, 558 |
| 3 | 467, 447, 279 |
| 467, 149, 93 |
∴ So the LCM of the given numbers is 2 x 3 x 467 x 149 x 93 = 38827314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38827314
Therefore, the GCF of Fractions 229/934,582/447,690/558 is 1/38827314
Least Common Multiple of 934,447,558 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 934,447,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,447,558) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(934,447,558) x common factors =1 x 6 = 6
LCM(934,447,558) = ( 934 × 447 × 558 ) / 6
LCM(934,447,558) = 232963884 / 6
LCM(934,447,558) = 38827314
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 229/934, 582/447, 690/558
1. What is the HCF of 229,582,690?
The HCF of 229,582,690 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 229/934, 582/447, 690/558?
Answer: GCF of Numerators as per given numbers 229/934, 582/447, 690/558 is
GCF of Numerators i.e. for 229,582,690 is 1
LCM of denominators i.e. for 934,447,558 is 38827314.
Thus, GCF of Fractions is 1/38827314.Finally, GCF of Fractions for 229/934, 582/447, 690/558 is 1/38827314.