GCF of 6581/26, 4290/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6581/26, 4290/898 i.e 1/11674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6581/26, 4290/898.
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 6581/26,4290/898?
Given fractions are 6581/26,4290/898
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 6581/26,4290/898, numerators are 6581,4290
Denominators are 26,898
The GCF of 6581,4290 is 1 .
LCM of 26,898 is 11674.
The greatest common factor of 6581/26,4290/898 = [GCF of 6581,4290]/[LCM of 26,898]= 1/11674
Therefore, the GCF of 6581/26,4290/898 is 1/11674.
To find the highest common factor of 6581,4290, we have to find the factors of both numbers and list the highest common factor.
The factors of 6581 are 1, 6581
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The HCF of 6581,4290 is 1.
Lets's calculate GCF of 6581,4290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6581,4290 By Matching Biggest Common Factor Method
Now, list down the factors of 6581
:1,6581
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Greatest Common Factor
We found the factors 6581,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 6581,4290 is 1.
Lets's calculate LCM of 26,898
| 2 | 26, 898 |
| 13, 449 |
∴ So the LCM of the given numbers is 2 x 13 x 449 = 11674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11674
Therefore, the GCF of Fractions 6581/26,4290/898 is 1/11674
Least Common Multiple of 26,898 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 26,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,898) x common factors =2 x 1 = 2
LCM(26,898) = ( 26 × 898 ) / 2
LCM(26,898) = 23348 / 2
LCM(26,898) = 11674
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6581/26, 4290/898
1. What is the HCF of 6581,4290?
The HCF of 6581,4290 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 6581/26, 4290/898?
Answer: GCF of Numerators as per given numbers 6581/26, 4290/898 is
GCF of Numerators i.e. for 6581,4290 is 1
LCM of denominators i.e. for 26,898 is 11674.
Thus, GCF of Fractions is 1/11674.Finally, GCF of Fractions for 6581/26, 4290/898 is 1/11674.