Use our free GCF of Fractions Calculator tool to compute the GCF of 545/960, 290/462 i.e 5/73920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/960, 290/462.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/960,290/462
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 545/960,290/462, numerators are 545,290
Denominators are 960,462
The GCF of 545,290 is 5 .
LCM of 960,462 is 73920.
The greatest common factor of 545/960,290/462 = [GCF of 545,290]/[LCM of 960,462]= 5/73920
Therefore, the GCF of 545/960,290/462 is 5/73920.
To find the highest common factor of 545,290, 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 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 545,290 is 5.
Lets's calculate GCF of 545,290
5 | 545, 290 |
109, 58 |
∴ 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 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 545,290 . The biggest common factor number is the GCF number.
So the greatest common factor 545,290 is 5.
Lets's calculate LCM of 960,462
2 | 960, 462 |
3 | 480, 231 |
160, 77 |
∴ So the LCM of the given numbers is 2 x 3 x 160 x 77 = 73920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73920
Therefore, the GCF of Fractions 545/960,290/462 is 5/73920
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 960,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,462) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(960,462) x common factors =6 x 1 = 6
LCM(960,462) = ( 960 × 462 ) / 6
LCM(960,462) = 443520 / 6
LCM(960,462) = 73920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 545,290?
The HCF of 545,290 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 545/960, 290/462?
Answer: GCF of Numerators as per given numbers 545/960, 290/462 is
GCF of Numerators i.e. for 545,290 is 5
LCM of denominators i.e. for 960,462 is 73920.
Thus, GCF of Fractions is 5/73920.Finally, GCF of Fractions for 545/960, 290/462 is 5/73920.