GCF of 2391/729, 4131/2390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2391/729, 4131/2390 i.e 3/1742310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2391/729, 4131/2390.
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 2391/729,4131/2390?
Given fractions are 2391/729,4131/2390
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 2391/729,4131/2390, numerators are 2391,4131
Denominators are 729,2390
The GCF of 2391,4131 is 3 .
LCM of 729,2390 is 1742310.
The greatest common factor of 2391/729,4131/2390 = [GCF of 2391,4131]/[LCM of 729,2390]= 3/1742310
Therefore, the GCF of 2391/729,4131/2390 is 3/1742310.
To find the highest common factor of 2391,4131, we have to find the factors of both numbers and list the highest common factor.
The factors of 2391 are 1, 3, 797, 2391
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The HCF of 2391,4131 is 3.
Lets's calculate GCF of 2391,4131
| 3 | 2391, 4131 |
| 797, 1377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2391,4131 By Matching Biggest Common Factor Method
Now, list down the factors of 2391
:1,3,797,2391
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 2391,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 2391,4131 is 3.
Lets's calculate LCM of 729,2390
Given numbers has no common factors except 1. So, there LCM is their product i.e 1742310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1742310
Therefore, the GCF of Fractions 2391/729,4131/2390 is 3/1742310
Least Common Multiple of 729,2390 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 729,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2390) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2390) x common factors =1 x 1 = 1
LCM(729,2390) = ( 729 × 2390 ) / 1
LCM(729,2390) = 1742310 / 1
LCM(729,2390) = 1742310
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FAQs on GCF of Fractions of 2391/729, 4131/2390
1. What is the HCF of 2391,4131?
The HCF of 2391,4131 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 2391/729, 4131/2390?
Answer: GCF of Numerators as per given numbers 2391/729, 4131/2390 is
GCF of Numerators i.e. for 2391,4131 is 3
LCM of denominators i.e. for 729,2390 is 1742310.
Thus, GCF of Fractions is 3/1742310.Finally, GCF of Fractions for 2391/729, 4131/2390 is 3/1742310.