Use our free GCF of Fractions Calculator tool to compute the GCF of 261/170, 589/402 i.e 1/34170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/170, 589/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 261/170,589/402
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 261/170,589/402, numerators are 261,589
Denominators are 170,402
The GCF of 261,589 is 1 .
LCM of 170,402 is 34170.
The greatest common factor of 261/170,589/402 = [GCF of 261,589]/[LCM of 170,402]= 1/34170
Therefore, the GCF of 261/170,589/402 is 1/34170.
To find the highest common factor of 261,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 261 are 1, 3, 9, 29, 87, 261
The factors of 589 are 1, 19, 31, 589
The HCF of 261,589 is 1.
Lets's calculate GCF of 261,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 261
:1,3,9,29,87,261
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 261,589 . The biggest common factor number is the GCF number.
So the greatest common factor 261,589 is 1.
Lets's calculate LCM of 170,402
2 | 170, 402 |
85, 201 |
∴ So the LCM of the given numbers is 2 x 85 x 201 = 34170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34170
Therefore, the GCF of Fractions 261/170,589/402 is 1/34170
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 170,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,402) x common factors =2 x 1 = 2
LCM(170,402) = ( 170 × 402 ) / 2
LCM(170,402) = 68340 / 2
LCM(170,402) = 34170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 261,589?
The HCF of 261,589 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 261/170, 589/402?
Answer: GCF of Numerators as per given numbers 261/170, 589/402 is
GCF of Numerators i.e. for 261,589 is 1
LCM of denominators i.e. for 170,402 is 34170.
Thus, GCF of Fractions is 1/34170.Finally, GCF of Fractions for 261/170, 589/402 is 1/34170.