Use our free GCF of Fractions Calculator tool to compute the GCF of 2142/124, 6561/8681 i.e 9/1076444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2142/124, 6561/8681.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2142/124,6561/8681
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 2142/124,6561/8681, numerators are 2142,6561
Denominators are 124,8681
The GCF of 2142,6561 is 9 .
LCM of 124,8681 is 1076444.
The greatest common factor of 2142/124,6561/8681 = [GCF of 2142,6561]/[LCM of 124,8681]= 9/1076444
Therefore, the GCF of 2142/124,6561/8681 is 9/1076444.
To find the highest common factor of 2142,6561, we have to find the factors of both numbers and list the highest common factor.
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561
The HCF of 2142,6561 is 9.
Lets's calculate GCF of 2142,6561
3 | 2142, 6561 |
3 | 714, 2187 |
238, 729 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Now, list down the factors of 6561
:1,3,9,27,81,243,729,2187,6561
Greatest Common Factor
We found the factors 2142,6561 . The biggest common factor number is the GCF number.
So the greatest common factor 2142,6561 is 9.
Lets's calculate LCM of 124,8681
Given numbers has no common factors except 1. So, there LCM is their product i.e 1076444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1076444
Therefore, the GCF of Fractions 2142/124,6561/8681 is 9/1076444
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 124,8681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,8681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,8681) x common factors =1 x 1 = 1
LCM(124,8681) = ( 124 × 8681 ) / 1
LCM(124,8681) = 1076444 / 1
LCM(124,8681) = 1076444
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2142,6561?
The HCF of 2142,6561 is 9
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 2142/124, 6561/8681?
Answer: GCF of Numerators as per given numbers 2142/124, 6561/8681 is
GCF of Numerators i.e. for 2142,6561 is 9
LCM of denominators i.e. for 124,8681 is 1076444.
Thus, GCF of Fractions is 9/1076444.Finally, GCF of Fractions for 2142/124, 6561/8681 is 9/1076444.