GCF of 8471/687, 2579/1766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8471/687, 2579/1766 i.e 1/1213242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8471/687, 2579/1766.
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 8471/687,2579/1766?
Given fractions are 8471/687,2579/1766
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 8471/687,2579/1766, numerators are 8471,2579
Denominators are 687,1766
The GCF of 8471,2579 is 1 .
LCM of 687,1766 is 1213242.
The greatest common factor of 8471/687,2579/1766 = [GCF of 8471,2579]/[LCM of 687,1766]= 1/1213242
Therefore, the GCF of 8471/687,2579/1766 is 1/1213242.
To find the highest common factor of 8471,2579, we have to find the factors of both numbers and list the highest common factor.
The factors of 8471 are 1, 43, 197, 8471
The factors of 2579 are 1, 2579
The HCF of 8471,2579 is 1.
Lets's calculate GCF of 8471,2579
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8471,2579 By Matching Biggest Common Factor Method
Now, list down the factors of 8471
:1,43,197,8471
Now, list down the factors of 2579
:1,2579
Greatest Common Factor
We found the factors 8471,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 8471,2579 is 1.
Lets's calculate LCM of 687,1766
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1213242
Therefore, the GCF of Fractions 8471/687,2579/1766 is 1/1213242
Least Common Multiple of 687,1766 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 687,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,1766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,1766) x common factors =1 x 1 = 1
LCM(687,1766) = ( 687 × 1766 ) / 1
LCM(687,1766) = 1213242 / 1
LCM(687,1766) = 1213242
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8471/687, 2579/1766
1. What is the HCF of 8471,2579?
The HCF of 8471,2579 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 8471/687, 2579/1766?
Answer: GCF of Numerators as per given numbers 8471/687, 2579/1766 is
GCF of Numerators i.e. for 8471,2579 is 1
LCM of denominators i.e. for 687,1766 is 1213242.
Thus, GCF of Fractions is 1/1213242.Finally, GCF of Fractions for 8471/687, 2579/1766 is 1/1213242.