GCF of 41/283, 18/190, 269/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 41/283, 18/190, 269/470 i.e 1/2527190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/283, 18/190, 269/470.
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 41/283,18/190,269/470?
Given fractions are 41/283,18/190,269/470
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 41/283,18/190,269/470, numerators are 41,18,269
Denominators are 283,190,470
The GCF of 41,18,269 is 1 .
LCM of 283,190,470 is 2527190.
The greatest common factor of 41/283,18/190,269/470 = [GCF of 41,18,269]/[LCM of 283,190,470]= 1/2527190
Therefore, the GCF of 41/283,18/190,269/470 is 1/2527190.
To find the highest common factor of 41,18,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 41 are 1, 41
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 269 are 1, 269
The HCF of 41,18,269 is 1.
Lets's calculate GCF of 41,18,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 41,18,269 By Matching Biggest Common Factor Method
Now, list down the factors of 41
:1,41
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 41,18,269 . The biggest common factor number is the GCF number.
So the greatest common factor 41,18,269 is 1.
Lets's calculate LCM of 283,190,470
| 2 | 283, 190, 470 |
| 5 | 283, 95, 235 |
| 283, 19, 47 |
∴ So the LCM of the given numbers is 2 x 5 x 283 x 19 x 47 = 2527190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2527190
Therefore, the GCF of Fractions 41/283,18/190,269/470 is 1/2527190
Least Common Multiple of 283,190,470 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 283,190,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,190,470) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(283,190,470) x common factors =1 x 10 = 10
LCM(283,190,470) = ( 283 × 190 × 470 ) / 10
LCM(283,190,470) = 25271900 / 10
LCM(283,190,470) = 2527190
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FAQs on GCF of Fractions of 41/283, 18/190, 269/470
1. What is the HCF of 41,18,269?
The HCF of 41,18,269 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 41/283, 18/190, 269/470?
Answer: GCF of Numerators as per given numbers 41/283, 18/190, 269/470 is
GCF of Numerators i.e. for 41,18,269 is 1
LCM of denominators i.e. for 283,190,470 is 2527190.
Thus, GCF of Fractions is 1/2527190.Finally, GCF of Fractions for 41/283, 18/190, 269/470 is 1/2527190.