Use our free GCF of Fractions Calculator tool to compute the GCF of 87/89, 261/33, 826/141 i.e 1/138039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/89, 261/33, 826/141.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/89,261/33,826/141
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 87/89,261/33,826/141, numerators are 87,261,826
Denominators are 89,33,141
The GCF of 87,261,826 is 1 .
LCM of 89,33,141 is 138039.
The greatest common factor of 87/89,261/33,826/141 = [GCF of 87,261,826]/[LCM of 89,33,141]= 1/138039
Therefore, the GCF of 87/89,261/33,826/141 is 1/138039.
To find the highest common factor of 87,261,826, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 261 are 1, 3, 9, 29, 87, 261
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The HCF of 87,261,826 is 1.
Lets's calculate GCF of 87,261,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 261
:1,3,9,29,87,261
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 87,261,826 . The biggest common factor number is the GCF number.
So the greatest common factor 87,261,826 is 1.
Lets's calculate LCM of 89,33,141
3 | 89, 33, 141 |
89, 11, 47 |
∴ So the LCM of the given numbers is 3 x 89 x 11 x 47 = 138039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138039
Therefore, the GCF of Fractions 87/89,261/33,826/141 is 1/138039
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 89,33,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,33,141) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(89,33,141) x common factors =1 x 3 = 3
LCM(89,33,141) = ( 89 × 33 × 141 ) / 3
LCM(89,33,141) = 414117 / 3
LCM(89,33,141) = 138039
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,261,826?
The HCF of 87,261,826 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 87/89, 261/33, 826/141?
Answer: GCF of Numerators as per given numbers 87/89, 261/33, 826/141 is
GCF of Numerators i.e. for 87,261,826 is 1
LCM of denominators i.e. for 89,33,141 is 138039.
Thus, GCF of Fractions is 1/138039.Finally, GCF of Fractions for 87/89, 261/33, 826/141 is 1/138039.