GCF of 5839/715, 8235/7671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5839/715, 8235/7671 i.e 1/5484765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5839/715, 8235/7671.
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 5839/715,8235/7671?
Given fractions are 5839/715,8235/7671
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 5839/715,8235/7671, numerators are 5839,8235
Denominators are 715,7671
The GCF of 5839,8235 is 1 .
LCM of 715,7671 is 5484765.
The greatest common factor of 5839/715,8235/7671 = [GCF of 5839,8235]/[LCM of 715,7671]= 1/5484765
Therefore, the GCF of 5839/715,8235/7671 is 1/5484765.
To find the highest common factor of 5839,8235, we have to find the factors of both numbers and list the highest common factor.
The factors of 5839 are 1, 5839
The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235
The HCF of 5839,8235 is 1.
Lets's calculate GCF of 5839,8235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5839,8235 By Matching Biggest Common Factor Method
Now, list down the factors of 5839
:1,5839
Now, list down the factors of 8235
:1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Greatest Common Factor
We found the factors 5839,8235 . The biggest common factor number is the GCF number.
So the greatest common factor 5839,8235 is 1.
Lets's calculate LCM of 715,7671
Given numbers has no common factors except 1. So, there LCM is their product i.e 5484765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5484765
Therefore, the GCF of Fractions 5839/715,8235/7671 is 1/5484765
Least Common Multiple of 715,7671 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 715,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,7671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,7671) x common factors =1 x 1 = 1
LCM(715,7671) = ( 715 × 7671 ) / 1
LCM(715,7671) = 5484765 / 1
LCM(715,7671) = 5484765
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FAQs on GCF of Fractions of 5839/715, 8235/7671
1. What is the HCF of 5839,8235?
The HCF of 5839,8235 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 5839/715, 8235/7671?
Answer: GCF of Numerators as per given numbers 5839/715, 8235/7671 is
GCF of Numerators i.e. for 5839,8235 is 1
LCM of denominators i.e. for 715,7671 is 5484765.
Thus, GCF of Fractions is 1/5484765.Finally, GCF of Fractions for 5839/715, 8235/7671 is 1/5484765.