GCF of 1449/303, 1259/5454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1449/303, 1259/5454 i.e 1/5454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1449/303, 1259/5454.
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 1449/303,1259/5454?
Given fractions are 1449/303,1259/5454
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 1449/303,1259/5454, numerators are 1449,1259
Denominators are 303,5454
The GCF of 1449,1259 is 1 .
LCM of 303,5454 is 5454.
The greatest common factor of 1449/303,1259/5454 = [GCF of 1449,1259]/[LCM of 303,5454]= 1/5454
Therefore, the GCF of 1449/303,1259/5454 is 1/5454.
To find the highest common factor of 1449,1259, we have to find the factors of both numbers and list the highest common factor.
The factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449
The factors of 1259 are 1, 1259
The HCF of 1449,1259 is 1.
Lets's calculate GCF of 1449,1259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1449,1259 By Matching Biggest Common Factor Method
Now, list down the factors of 1449
:1,3,7,9,21,23,63,69,161,207,483,1449
Now, list down the factors of 1259
:1,1259
Greatest Common Factor
We found the factors 1449,1259 . The biggest common factor number is the GCF number.
So the greatest common factor 1449,1259 is 1.
Lets's calculate LCM of 303,5454
| 3 | 303, 5454 |
| 101 | 101, 1818 |
| 1, 18 |
∴ So the LCM of the given numbers is 3 x 101 x 1 x 18 = 5454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5454
Therefore, the GCF of Fractions 1449/303,1259/5454 is 1/5454
Least Common Multiple of 303,5454 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 303,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,5454) = 303
common factors(in case of two or more numbers have common factors) = 1
GCF(303,5454) x common factors =303 x 1 = 303
LCM(303,5454) = ( 303 × 5454 ) / 303
LCM(303,5454) = 1652562 / 303
LCM(303,5454) = 5454
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FAQs on GCF of Fractions of 1449/303, 1259/5454
1. What is the HCF of 1449,1259?
The HCF of 1449,1259 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 1449/303, 1259/5454?
Answer: GCF of Numerators as per given numbers 1449/303, 1259/5454 is
GCF of Numerators i.e. for 1449,1259 is 1
LCM of denominators i.e. for 303,5454 is 5454.
Thus, GCF of Fractions is 1/5454.Finally, GCF of Fractions for 1449/303, 1259/5454 is 1/5454.