GCF of 5000/580, 4213/2849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5000/580, 4213/2849 i.e 1/1652420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5000/580, 4213/2849.
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 5000/580,4213/2849?
Given fractions are 5000/580,4213/2849
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 5000/580,4213/2849, numerators are 5000,4213
Denominators are 580,2849
The GCF of 5000,4213 is 1 .
LCM of 580,2849 is 1652420.
The greatest common factor of 5000/580,4213/2849 = [GCF of 5000,4213]/[LCM of 580,2849]= 1/1652420
Therefore, the GCF of 5000/580,4213/2849 is 1/1652420.
To find the highest common factor of 5000,4213, we have to find the factors of both numbers and list the highest common factor.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The factors of 4213 are 1, 11, 383, 4213
The HCF of 5000,4213 is 1.
Lets's calculate GCF of 5000,4213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5000,4213 By Matching Biggest Common Factor Method
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Now, list down the factors of 4213
:1,11,383,4213
Greatest Common Factor
We found the factors 5000,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 5000,4213 is 1.
Lets's calculate LCM of 580,2849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1652420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1652420
Therefore, the GCF of Fractions 5000/580,4213/2849 is 1/1652420
Least Common Multiple of 580,2849 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 580,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,2849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,2849) x common factors =1 x 1 = 1
LCM(580,2849) = ( 580 × 2849 ) / 1
LCM(580,2849) = 1652420 / 1
LCM(580,2849) = 1652420
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FAQs on GCF of Fractions of 5000/580, 4213/2849
1. What is the HCF of 5000,4213?
The HCF of 5000,4213 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 5000/580, 4213/2849?
Answer: GCF of Numerators as per given numbers 5000/580, 4213/2849 is
GCF of Numerators i.e. for 5000,4213 is 1
LCM of denominators i.e. for 580,2849 is 1652420.
Thus, GCF of Fractions is 1/1652420.Finally, GCF of Fractions for 5000/580, 4213/2849 is 1/1652420.