GCF of 5237/573, 5809/5141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5237/573, 5809/5141 i.e 1/2945793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5237/573, 5809/5141.
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 5237/573,5809/5141?
Given fractions are 5237/573,5809/5141
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 5237/573,5809/5141, numerators are 5237,5809
Denominators are 573,5141
The GCF of 5237,5809 is 1 .
LCM of 573,5141 is 2945793.
The greatest common factor of 5237/573,5809/5141 = [GCF of 5237,5809]/[LCM of 573,5141]= 1/2945793
Therefore, the GCF of 5237/573,5809/5141 is 1/2945793.
To find the highest common factor of 5237,5809, we have to find the factors of both numbers and list the highest common factor.
The factors of 5237 are 1, 5237
The factors of 5809 are 1, 37, 157, 5809
The HCF of 5237,5809 is 1.
Lets's calculate GCF of 5237,5809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5237,5809 By Matching Biggest Common Factor Method
Now, list down the factors of 5237
:1,5237
Now, list down the factors of 5809
:1,37,157,5809
Greatest Common Factor
We found the factors 5237,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 5237,5809 is 1.
Lets's calculate LCM of 573,5141
Given numbers has no common factors except 1. So, there LCM is their product i.e 2945793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2945793
Therefore, the GCF of Fractions 5237/573,5809/5141 is 1/2945793
Least Common Multiple of 573,5141 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 573,5141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,5141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,5141) x common factors =1 x 1 = 1
LCM(573,5141) = ( 573 × 5141 ) / 1
LCM(573,5141) = 2945793 / 1
LCM(573,5141) = 2945793
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FAQs on GCF of Fractions of 5237/573, 5809/5141
1. What is the HCF of 5237,5809?
The HCF of 5237,5809 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 5237/573, 5809/5141?
Answer: GCF of Numerators as per given numbers 5237/573, 5809/5141 is
GCF of Numerators i.e. for 5237,5809 is 1
LCM of denominators i.e. for 573,5141 is 2945793.
Thus, GCF of Fractions is 1/2945793.Finally, GCF of Fractions for 5237/573, 5809/5141 is 1/2945793.