GCF of 5067/500, 4863/3432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5067/500, 4863/3432 i.e 3/429000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5067/500, 4863/3432.
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 5067/500,4863/3432?
Given fractions are 5067/500,4863/3432
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 5067/500,4863/3432, numerators are 5067,4863
Denominators are 500,3432
The GCF of 5067,4863 is 3 .
LCM of 500,3432 is 429000.
The greatest common factor of 5067/500,4863/3432 = [GCF of 5067,4863]/[LCM of 500,3432]= 3/429000
Therefore, the GCF of 5067/500,4863/3432 is 3/429000.
To find the highest common factor of 5067,4863, we have to find the factors of both numbers and list the highest common factor.
The factors of 5067 are 1, 3, 9, 563, 1689, 5067
The factors of 4863 are 1, 3, 1621, 4863
The HCF of 5067,4863 is 3.
Lets's calculate GCF of 5067,4863
| 3 | 5067, 4863 |
| 1689, 1621 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5067,4863 By Matching Biggest Common Factor Method
Now, list down the factors of 5067
:1,3,9,563,1689,5067
Now, list down the factors of 4863
:1,3,1621,4863
Greatest Common Factor
We found the factors 5067,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 5067,4863 is 3.
Lets's calculate LCM of 500,3432
| 2 | 500, 3432 |
| 2 | 250, 1716 |
| 125, 858 |
∴ So the LCM of the given numbers is 2 x 2 x 125 x 858 = 429000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/429000
Therefore, the GCF of Fractions 5067/500,4863/3432 is 3/429000
Least Common Multiple of 500,3432 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 500,3432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,3432) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(500,3432) x common factors =4 x 1 = 4
LCM(500,3432) = ( 500 × 3432 ) / 4
LCM(500,3432) = 1716000 / 4
LCM(500,3432) = 429000
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FAQs on GCF of Fractions of 5067/500, 4863/3432
1. What is the HCF of 5067,4863?
The HCF of 5067,4863 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 5067/500, 4863/3432?
Answer: GCF of Numerators as per given numbers 5067/500, 4863/3432 is
GCF of Numerators i.e. for 5067,4863 is 3
LCM of denominators i.e. for 500,3432 is 429000.
Thus, GCF of Fractions is 3/429000.Finally, GCF of Fractions for 5067/500, 4863/3432 is 3/429000.