Use our free GCF of Fractions Calculator tool to compute the GCF of 455/624, 540/612 i.e 5/31824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/624, 540/612.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/624,540/612
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 455/624,540/612, numerators are 455,540
Denominators are 624,612
The GCF of 455,540 is 5 .
LCM of 624,612 is 31824.
The greatest common factor of 455/624,540/612 = [GCF of 455,540]/[LCM of 624,612]= 5/31824
Therefore, the GCF of 455/624,540/612 is 5/31824.
To find the highest common factor of 455,540, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The HCF of 455,540 is 5.
Lets's calculate GCF of 455,540
5 | 455, 540 |
91, 108 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 455,540 . The biggest common factor number is the GCF number.
So the greatest common factor 455,540 is 5.
Lets's calculate LCM of 624,612
2 | 624, 612 |
2 | 312, 306 |
3 | 156, 153 |
52, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 52 x 51 = 31824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31824
Therefore, the GCF of Fractions 455/624,540/612 is 5/31824
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 624,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,612) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(624,612) x common factors =12 x 1 = 12
LCM(624,612) = ( 624 × 612 ) / 12
LCM(624,612) = 381888 / 12
LCM(624,612) = 31824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 455,540?
The HCF of 455,540 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 455/624, 540/612?
Answer: GCF of Numerators as per given numbers 455/624, 540/612 is
GCF of Numerators i.e. for 455,540 is 5
LCM of denominators i.e. for 624,612 is 31824.
Thus, GCF of Fractions is 5/31824.Finally, GCF of Fractions for 455/624, 540/612 is 5/31824.