Use our free GCF of Fractions Calculator tool to compute the GCF of 461/565, 586/540 i.e 1/61020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/565, 586/540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 461/565,586/540
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 461/565,586/540, numerators are 461,586
Denominators are 565,540
The GCF of 461,586 is 1 .
LCM of 565,540 is 61020.
The greatest common factor of 461/565,586/540 = [GCF of 461,586]/[LCM of 565,540]= 1/61020
Therefore, the GCF of 461/565,586/540 is 1/61020.
To find the highest common factor of 461,586, we have to find the factors of both numbers and list the highest common factor.
The factors of 461 are 1, 461
The factors of 586 are 1, 2, 293, 586
The HCF of 461,586 is 1.
Lets's calculate GCF of 461,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 461
:1,461
Now, list down the factors of 586
:1,2,293,586
Greatest Common Factor
We found the factors 461,586 . The biggest common factor number is the GCF number.
So the greatest common factor 461,586 is 1.
Lets's calculate LCM of 565,540
5 | 565, 540 |
113, 108 |
∴ So the LCM of the given numbers is 5 x 113 x 108 = 61020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61020
Therefore, the GCF of Fractions 461/565,586/540 is 1/61020
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 565,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,540) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,540) x common factors =5 x 1 = 5
LCM(565,540) = ( 565 × 540 ) / 5
LCM(565,540) = 305100 / 5
LCM(565,540) = 61020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 461,586?
The HCF of 461,586 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 461/565, 586/540?
Answer: GCF of Numerators as per given numbers 461/565, 586/540 is
GCF of Numerators i.e. for 461,586 is 1
LCM of denominators i.e. for 565,540 is 61020.
Thus, GCF of Fractions is 1/61020.Finally, GCF of Fractions for 461/565, 586/540 is 1/61020.