GCF of 5832/271, 8667/4913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5832/271, 8667/4913 i.e 81/1331423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5832/271, 8667/4913.
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 5832/271,8667/4913?
Given fractions are 5832/271,8667/4913
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 5832/271,8667/4913, numerators are 5832,8667
Denominators are 271,4913
The GCF of 5832,8667 is 81 .
LCM of 271,4913 is 1331423.
The greatest common factor of 5832/271,8667/4913 = [GCF of 5832,8667]/[LCM of 271,4913]= 81/1331423
Therefore, the GCF of 5832/271,8667/4913 is 81/1331423.
To find the highest common factor of 5832,8667, we have to find the factors of both numbers and list the highest common factor.
The factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832
The factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667
The HCF of 5832,8667 is 81.
Lets's calculate GCF of 5832,8667
| 3 | 5832, 8667 |
| 3 | 1944, 2889 |
| 3 | 648, 963 |
| 3 | 216, 321 |
| 72, 107 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 5832,8667 By Matching Biggest Common Factor Method
Now, list down the factors of 5832
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832
Now, list down the factors of 8667
:1,3,9,27,81,107,321,963,2889,8667
Greatest Common Factor
We found the factors 5832,8667 . The biggest common factor number is the GCF number.
So the greatest common factor 5832,8667 is 81.
Lets's calculate LCM of 271,4913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1331423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/1331423
Therefore, the GCF of Fractions 5832/271,8667/4913 is 81/1331423
Least Common Multiple of 271,4913 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 271,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,4913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,4913) x common factors =1 x 1 = 1
LCM(271,4913) = ( 271 × 4913 ) / 1
LCM(271,4913) = 1331423 / 1
LCM(271,4913) = 1331423
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FAQs on GCF of Fractions of 5832/271, 8667/4913
1. What is the HCF of 5832,8667?
The HCF of 5832,8667 is 81
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 5832/271, 8667/4913?
Answer: GCF of Numerators as per given numbers 5832/271, 8667/4913 is
GCF of Numerators i.e. for 5832,8667 is 81
LCM of denominators i.e. for 271,4913 is 1331423.
Thus, GCF of Fractions is 81/1331423.Finally, GCF of Fractions for 5832/271, 8667/4913 is 81/1331423.