Use our free GCF of Fractions Calculator tool to compute the GCF of 6540/211, 6110/9483 i.e 10/2000913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6540/211, 6110/9483.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6540/211,6110/9483
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 6540/211,6110/9483, numerators are 6540,6110
Denominators are 211,9483
The GCF of 6540,6110 is 10 .
LCM of 211,9483 is 2000913.
The greatest common factor of 6540/211,6110/9483 = [GCF of 6540,6110]/[LCM of 211,9483]= 10/2000913
Therefore, the GCF of 6540/211,6110/9483 is 10/2000913.
To find the highest common factor of 6540,6110, we have to find the factors of both numbers and list the highest common factor.
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110
The HCF of 6540,6110 is 10.
Lets's calculate GCF of 6540,6110
2 | 6540, 6110 |
5 | 3270, 3055 |
654, 611 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Now, list down the factors of 6110
:1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110
Greatest Common Factor
We found the factors 6540,6110 . The biggest common factor number is the GCF number.
So the greatest common factor 6540,6110 is 10.
Lets's calculate LCM of 211,9483
Given numbers has no common factors except 1. So, there LCM is their product i.e 2000913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2000913
Therefore, the GCF of Fractions 6540/211,6110/9483 is 10/2000913
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 211,9483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,9483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,9483) x common factors =1 x 1 = 1
LCM(211,9483) = ( 211 × 9483 ) / 1
LCM(211,9483) = 2000913 / 1
LCM(211,9483) = 2000913
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6540,6110?
The HCF of 6540,6110 is 10
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 6540/211, 6110/9483?
Answer: GCF of Numerators as per given numbers 6540/211, 6110/9483 is
GCF of Numerators i.e. for 6540,6110 is 10
LCM of denominators i.e. for 211,9483 is 2000913.
Thus, GCF of Fractions is 10/2000913.Finally, GCF of Fractions for 6540/211, 6110/9483 is 10/2000913.