Use our free GCF of Fractions Calculator tool to compute the GCF of 261/665, 678/637 i.e 3/60515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/665, 678/637.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 261/665,678/637
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 261/665,678/637, numerators are 261,678
Denominators are 665,637
The GCF of 261,678 is 3 .
LCM of 665,637 is 60515.
The greatest common factor of 261/665,678/637 = [GCF of 261,678]/[LCM of 665,637]= 3/60515
Therefore, the GCF of 261/665,678/637 is 3/60515.
To find the highest common factor of 261,678, 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 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 261,678 is 3.
Lets's calculate GCF of 261,678
3 | 261, 678 |
87, 226 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 261
:1,3,9,29,87,261
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 261,678 . The biggest common factor number is the GCF number.
So the greatest common factor 261,678 is 3.
Lets's calculate LCM of 665,637
7 | 665, 637 |
95, 91 |
∴ So the LCM of the given numbers is 7 x 95 x 91 = 60515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60515
Therefore, the GCF of Fractions 261/665,678/637 is 3/60515
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 665,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,637) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(665,637) x common factors =7 x 1 = 7
LCM(665,637) = ( 665 × 637 ) / 7
LCM(665,637) = 423605 / 7
LCM(665,637) = 60515
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 261,678?
The HCF of 261,678 is 3
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 261/665, 678/637?
Answer: GCF of Numerators as per given numbers 261/665, 678/637 is
GCF of Numerators i.e. for 261,678 is 3
LCM of denominators i.e. for 665,637 is 60515.
Thus, GCF of Fractions is 3/60515.Finally, GCF of Fractions for 261/665, 678/637 is 3/60515.