GCF of 480/449, 5853/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 480/449, 5853/241 i.e 3/108209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 480/449, 5853/241.
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 480/449,5853/241?
Given fractions are 480/449,5853/241
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 480/449,5853/241, numerators are 480,5853
Denominators are 449,241
The GCF of 480,5853 is 3 .
LCM of 449,241 is 108209.
The greatest common factor of 480/449,5853/241 = [GCF of 480,5853]/[LCM of 449,241]= 3/108209
Therefore, the GCF of 480/449,5853/241 is 3/108209.
To find the highest common factor of 480,5853, we have to find the factors of both numbers and list the highest common factor.
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The factors of 5853 are 1, 3, 1951, 5853
The HCF of 480,5853 is 3.
Lets's calculate GCF of 480,5853
| 3 | 480, 5853 |
| 160, 1951 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 480,5853 By Matching Biggest Common Factor Method
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Now, list down the factors of 5853
:1,3,1951,5853
Greatest Common Factor
We found the factors 480,5853 . The biggest common factor number is the GCF number.
So the greatest common factor 480,5853 is 3.
Lets's calculate LCM of 449,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 108209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/108209
Therefore, the GCF of Fractions 480/449,5853/241 is 3/108209
Least Common Multiple of 449,241 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 449,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,241) x common factors =1 x 1 = 1
LCM(449,241) = ( 449 × 241 ) / 1
LCM(449,241) = 108209 / 1
LCM(449,241) = 108209
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FAQs on GCF of Fractions of 480/449, 5853/241
1. What is the HCF of 480,5853?
The HCF of 480,5853 is 3
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 480/449, 5853/241?
Answer: GCF of Numerators as per given numbers 480/449, 5853/241 is
GCF of Numerators i.e. for 480,5853 is 3
LCM of denominators i.e. for 449,241 is 108209.
Thus, GCF of Fractions is 3/108209.Finally, GCF of Fractions for 480/449, 5853/241 is 3/108209.