GCF of 810/501, 5188/1653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 810/501, 5188/1653 i.e 2/276051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/501, 5188/1653.
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 810/501,5188/1653?
Given fractions are 810/501,5188/1653
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 810/501,5188/1653, numerators are 810,5188
Denominators are 501,1653
The GCF of 810,5188 is 2 .
LCM of 501,1653 is 276051.
The greatest common factor of 810/501,5188/1653 = [GCF of 810,5188]/[LCM of 501,1653]= 2/276051
Therefore, the GCF of 810/501,5188/1653 is 2/276051.
To find the highest common factor of 810,5188, we have to find the factors of both numbers and list the highest common factor.
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 5188 are 1, 2, 4, 1297, 2594, 5188
The HCF of 810,5188 is 2.
Lets's calculate GCF of 810,5188
| 2 | 810, 5188 |
| 405, 2594 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 810,5188 By Matching Biggest Common Factor Method
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 5188
:1,2,4,1297,2594,5188
Greatest Common Factor
We found the factors 810,5188 . The biggest common factor number is the GCF number.
So the greatest common factor 810,5188 is 2.
Lets's calculate LCM of 501,1653
| 3 | 501, 1653 |
| 167, 551 |
∴ So the LCM of the given numbers is 3 x 167 x 551 = 276051
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/276051
Therefore, the GCF of Fractions 810/501,5188/1653 is 2/276051
Least Common Multiple of 501,1653 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 501,1653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,1653) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,1653) x common factors =3 x 1 = 3
LCM(501,1653) = ( 501 × 1653 ) / 3
LCM(501,1653) = 828153 / 3
LCM(501,1653) = 276051
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FAQs on GCF of Fractions of 810/501, 5188/1653
1. What is the HCF of 810,5188?
The HCF of 810,5188 is 2
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 810/501, 5188/1653?
Answer: GCF of Numerators as per given numbers 810/501, 5188/1653 is
GCF of Numerators i.e. for 810,5188 is 2
LCM of denominators i.e. for 501,1653 is 276051.
Thus, GCF of Fractions is 2/276051.Finally, GCF of Fractions for 810/501, 5188/1653 is 2/276051.