GCF of 6541/207, 8405/8127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6541/207, 8405/8127 i.e 1/186921 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6541/207, 8405/8127.
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 6541/207,8405/8127?
Given fractions are 6541/207,8405/8127
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 6541/207,8405/8127, numerators are 6541,8405
Denominators are 207,8127
The GCF of 6541,8405 is 1 .
LCM of 207,8127 is 186921.
The greatest common factor of 6541/207,8405/8127 = [GCF of 6541,8405]/[LCM of 207,8127]= 1/186921
Therefore, the GCF of 6541/207,8405/8127 is 1/186921.
To find the highest common factor of 6541,8405, we have to find the factors of both numbers and list the highest common factor.
The factors of 6541 are 1, 31, 211, 6541
The factors of 8405 are 1, 5, 41, 205, 1681, 8405
The HCF of 6541,8405 is 1.
Lets's calculate GCF of 6541,8405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6541,8405 By Matching Biggest Common Factor Method
Now, list down the factors of 6541
:1,31,211,6541
Now, list down the factors of 8405
:1,5,41,205,1681,8405
Greatest Common Factor
We found the factors 6541,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 6541,8405 is 1.
Lets's calculate LCM of 207,8127
| 3 | 207, 8127 |
| 3 | 69, 2709 |
| 23, 903 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 903 = 186921
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186921
Therefore, the GCF of Fractions 6541/207,8405/8127 is 1/186921
Least Common Multiple of 207,8127 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 207,8127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,8127) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,8127) x common factors =9 x 1 = 9
LCM(207,8127) = ( 207 × 8127 ) / 9
LCM(207,8127) = 1682289 / 9
LCM(207,8127) = 186921
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FAQs on GCF of Fractions of 6541/207, 8405/8127
1. What is the HCF of 6541,8405?
The HCF of 6541,8405 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 6541/207, 8405/8127?
Answer: GCF of Numerators as per given numbers 6541/207, 8405/8127 is
GCF of Numerators i.e. for 6541,8405 is 1
LCM of denominators i.e. for 207,8127 is 186921.
Thus, GCF of Fractions is 1/186921.Finally, GCF of Fractions for 6541/207, 8405/8127 is 1/186921.