Use our free GCF of Fractions Calculator tool to compute the GCF of 545/291, 260/300 i.e 5/29100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/291, 260/300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/291,260/300
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 545/291,260/300, numerators are 545,260
Denominators are 291,300
The GCF of 545,260 is 5 .
LCM of 291,300 is 29100.
The greatest common factor of 545/291,260/300 = [GCF of 545,260]/[LCM of 291,300]= 5/29100
Therefore, the GCF of 545/291,260/300 is 5/29100.
To find the highest common factor of 545,260, we have to find the factors of both numbers and list the highest common factor.
The factors of 545 are 1, 5, 109, 545
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The HCF of 545,260 is 5.
Lets's calculate GCF of 545,260
5 | 545, 260 |
109, 52 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 545,260 . The biggest common factor number is the GCF number.
So the greatest common factor 545,260 is 5.
Lets's calculate LCM of 291,300
3 | 291, 300 |
97, 100 |
∴ So the LCM of the given numbers is 3 x 97 x 100 = 29100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29100
Therefore, the GCF of Fractions 545/291,260/300 is 5/29100
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 291,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,300) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,300) x common factors =3 x 1 = 3
LCM(291,300) = ( 291 × 300 ) / 3
LCM(291,300) = 87300 / 3
LCM(291,300) = 29100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 545,260?
The HCF of 545,260 is 5
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 545/291, 260/300?
Answer: GCF of Numerators as per given numbers 545/291, 260/300 is
GCF of Numerators i.e. for 545,260 is 5
LCM of denominators i.e. for 291,300 is 29100.
Thus, GCF of Fractions is 5/29100.Finally, GCF of Fractions for 545/291, 260/300 is 5/29100.