GCF of 5493/446, 5385/2533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5493/446, 5385/2533 i.e 3/1129718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5493/446, 5385/2533.
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 5493/446,5385/2533?
Given fractions are 5493/446,5385/2533
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 5493/446,5385/2533, numerators are 5493,5385
Denominators are 446,2533
The GCF of 5493,5385 is 3 .
LCM of 446,2533 is 1129718.
The greatest common factor of 5493/446,5385/2533 = [GCF of 5493,5385]/[LCM of 446,2533]= 3/1129718
Therefore, the GCF of 5493/446,5385/2533 is 3/1129718.
To find the highest common factor of 5493,5385, we have to find the factors of both numbers and list the highest common factor.
The factors of 5493 are 1, 3, 1831, 5493
The factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385
The HCF of 5493,5385 is 3.
Lets's calculate GCF of 5493,5385
| 3 | 5493, 5385 |
| 1831, 1795 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5493,5385 By Matching Biggest Common Factor Method
Now, list down the factors of 5493
:1,3,1831,5493
Now, list down the factors of 5385
:1,3,5,15,359,1077,1795,5385
Greatest Common Factor
We found the factors 5493,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,5385 is 3.
Lets's calculate LCM of 446,2533
Given numbers has no common factors except 1. So, there LCM is their product i.e 1129718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1129718
Therefore, the GCF of Fractions 5493/446,5385/2533 is 3/1129718
Least Common Multiple of 446,2533 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 446,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,2533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,2533) x common factors =1 x 1 = 1
LCM(446,2533) = ( 446 × 2533 ) / 1
LCM(446,2533) = 1129718 / 1
LCM(446,2533) = 1129718
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FAQs on GCF of Fractions of 5493/446, 5385/2533
1. What is the HCF of 5493,5385?
The HCF of 5493,5385 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 5493/446, 5385/2533?
Answer: GCF of Numerators as per given numbers 5493/446, 5385/2533 is
GCF of Numerators i.e. for 5493,5385 is 3
LCM of denominators i.e. for 446,2533 is 1129718.
Thus, GCF of Fractions is 3/1129718.Finally, GCF of Fractions for 5493/446, 5385/2533 is 3/1129718.