Use our free GCF of Fractions Calculator tool to compute the GCF of 54/153, 463/782, 870/469 i.e 1/3300822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/153, 463/782, 870/469.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/153,463/782,870/469
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 54/153,463/782,870/469, numerators are 54,463,870
Denominators are 153,782,469
The GCF of 54,463,870 is 1 .
LCM of 153,782,469 is 3300822.
The greatest common factor of 54/153,463/782,870/469 = [GCF of 54,463,870]/[LCM of 153,782,469]= 1/3300822
Therefore, the GCF of 54/153,463/782,870/469 is 1/3300822.
To find the highest common factor of 54,463,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 463 are 1, 463
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 54,463,870 is 1.
Lets's calculate GCF of 54,463,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 463
:1,463
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 54,463,870 . The biggest common factor number is the GCF number.
So the greatest common factor 54,463,870 is 1.
Lets's calculate LCM of 153,782,469
17 | 153, 782, 469 |
9, 46, 469 |
∴ So the LCM of the given numbers is 17 x 9 x 46 x 469 = 3300822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3300822
Therefore, the GCF of Fractions 54/153,463/782,870/469 is 1/3300822
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 153,782,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,782,469) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(153,782,469) x common factors =1 x 17 = 17
LCM(153,782,469) = ( 153 × 782 × 469 ) / 17
LCM(153,782,469) = 56113974 / 17
LCM(153,782,469) = 3300822
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 54,463,870?
The HCF of 54,463,870 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 54/153, 463/782, 870/469?
Answer: GCF of Numerators as per given numbers 54/153, 463/782, 870/469 is
GCF of Numerators i.e. for 54,463,870 is 1
LCM of denominators i.e. for 153,782,469 is 3300822.
Thus, GCF of Fractions is 1/3300822.Finally, GCF of Fractions for 54/153, 463/782, 870/469 is 1/3300822.