GCF of 717/831, 2166/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 717/831, 2166/831 i.e 3/831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 717/831, 2166/831.
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 717/831,2166/831?
Given fractions are 717/831,2166/831
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 717/831,2166/831, numerators are 717,2166
Denominators are 831,831
The GCF of 717,2166 is 3 .
LCM of 831,831 is 831.
The greatest common factor of 717/831,2166/831 = [GCF of 717,2166]/[LCM of 831,831]= 3/831
Therefore, the GCF of 717/831,2166/831 is 3/831.
To find the highest common factor of 717,2166, we have to find the factors of both numbers and list the highest common factor.
The factors of 717 are 1, 3, 239, 717
The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
The HCF of 717,2166 is 3.
Lets's calculate GCF of 717,2166
| 3 | 717, 2166 |
| 239, 722 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 717,2166 By Matching Biggest Common Factor Method
Now, list down the factors of 717
:1,3,239,717
Now, list down the factors of 2166
:1,2,3,6,19,38,57,114,361,722,1083,2166
Greatest Common Factor
We found the factors 717,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 717,2166 is 3.
Lets's calculate LCM of 831,831
| 3 | 831, 831 |
| 277 | 277, 277 |
| 1, 1 |
∴ So the LCM of the given numbers is 3 x 277 x 1 x 1 = 831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/831
Therefore, the GCF of Fractions 717/831,2166/831 is 3/831
Least Common Multiple of 831,831 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 831,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,831) = 831
common factors(in case of two or more numbers have common factors) = 1
GCF(831,831) x common factors =831 x 1 = 831
LCM(831,831) = ( 831 × 831 ) / 831
LCM(831,831) = 690561 / 831
LCM(831,831) = 831
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 717/831, 2166/831
1. What is the HCF of 717,2166?
The HCF of 717,2166 is 3
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 717/831, 2166/831?
Answer: GCF of Numerators as per given numbers 717/831, 2166/831 is
GCF of Numerators i.e. for 717,2166 is 3
LCM of denominators i.e. for 831,831 is 831.
Thus, GCF of Fractions is 3/831.Finally, GCF of Fractions for 717/831, 2166/831 is 3/831.