GCF of 6187/213, 5005/3799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6187/213, 5005/3799 i.e 1/809187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6187/213, 5005/3799.
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 6187/213,5005/3799?
Given fractions are 6187/213,5005/3799
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 6187/213,5005/3799, numerators are 6187,5005
Denominators are 213,3799
The GCF of 6187,5005 is 1 .
LCM of 213,3799 is 809187.
The greatest common factor of 6187/213,5005/3799 = [GCF of 6187,5005]/[LCM of 213,3799]= 1/809187
Therefore, the GCF of 6187/213,5005/3799 is 1/809187.
To find the highest common factor of 6187,5005, we have to find the factors of both numbers and list the highest common factor.
The factors of 6187 are 1, 23, 269, 6187
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
The HCF of 6187,5005 is 1.
Lets's calculate GCF of 6187,5005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6187,5005 By Matching Biggest Common Factor Method
Now, list down the factors of 6187
:1,23,269,6187
Now, list down the factors of 5005
:1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors 6187,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 6187,5005 is 1.
Lets's calculate LCM of 213,3799
Given numbers has no common factors except 1. So, there LCM is their product i.e 809187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809187
Therefore, the GCF of Fractions 6187/213,5005/3799 is 1/809187
Least Common Multiple of 213,3799 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 213,3799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,3799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,3799) x common factors =1 x 1 = 1
LCM(213,3799) = ( 213 × 3799 ) / 1
LCM(213,3799) = 809187 / 1
LCM(213,3799) = 809187
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FAQs on GCF of Fractions of 6187/213, 5005/3799
1. What is the HCF of 6187,5005?
The HCF of 6187,5005 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 6187/213, 5005/3799?
Answer: GCF of Numerators as per given numbers 6187/213, 5005/3799 is
GCF of Numerators i.e. for 6187,5005 is 1
LCM of denominators i.e. for 213,3799 is 809187.
Thus, GCF of Fractions is 1/809187.Finally, GCF of Fractions for 6187/213, 5005/3799 is 1/809187.