GCF of 5191/131, 5870/3206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5191/131, 5870/3206 i.e 1/419986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5191/131, 5870/3206.
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 5191/131,5870/3206?
Given fractions are 5191/131,5870/3206
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 5191/131,5870/3206, numerators are 5191,5870
Denominators are 131,3206
The GCF of 5191,5870 is 1 .
LCM of 131,3206 is 419986.
The greatest common factor of 5191/131,5870/3206 = [GCF of 5191,5870]/[LCM of 131,3206]= 1/419986
Therefore, the GCF of 5191/131,5870/3206 is 1/419986.
To find the highest common factor of 5191,5870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5191 are 1, 29, 179, 5191
The factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870
The HCF of 5191,5870 is 1.
Lets's calculate GCF of 5191,5870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5191,5870 By Matching Biggest Common Factor Method
Now, list down the factors of 5191
:1,29,179,5191
Now, list down the factors of 5870
:1,2,5,10,587,1174,2935,5870
Greatest Common Factor
We found the factors 5191,5870 . The biggest common factor number is the GCF number.
So the greatest common factor 5191,5870 is 1.
Lets's calculate LCM of 131,3206
Given numbers has no common factors except 1. So, there LCM is their product i.e 419986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419986
Therefore, the GCF of Fractions 5191/131,5870/3206 is 1/419986
Least Common Multiple of 131,3206 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 131,3206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,3206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,3206) x common factors =1 x 1 = 1
LCM(131,3206) = ( 131 × 3206 ) / 1
LCM(131,3206) = 419986 / 1
LCM(131,3206) = 419986
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FAQs on GCF of Fractions of 5191/131, 5870/3206
1. What is the HCF of 5191,5870?
The HCF of 5191,5870 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 5191/131, 5870/3206?
Answer: GCF of Numerators as per given numbers 5191/131, 5870/3206 is
GCF of Numerators i.e. for 5191,5870 is 1
LCM of denominators i.e. for 131,3206 is 419986.
Thus, GCF of Fractions is 1/419986.Finally, GCF of Fractions for 5191/131, 5870/3206 is 1/419986.