Use our free GCF of Fractions Calculator tool to compute the GCF of 54/90, 857/53, 811/140 i.e 1/66780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/90, 857/53, 811/140.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/90,857/53,811/140
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 54/90,857/53,811/140, numerators are 54,857,811
Denominators are 90,53,140
The GCF of 54,857,811 is 1 .
LCM of 90,53,140 is 66780.
The greatest common factor of 54/90,857/53,811/140 = [GCF of 54,857,811]/[LCM of 90,53,140]= 1/66780
Therefore, the GCF of 54/90,857/53,811/140 is 1/66780.
To find the highest common factor of 54,857,811, 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 857 are 1, 857
The factors of 811 are 1, 811
The HCF of 54,857,811 is 1.
Lets's calculate GCF of 54,857,811
∴ 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 857
:1,857
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 54,857,811 . The biggest common factor number is the GCF number.
So the greatest common factor 54,857,811 is 1.
Lets's calculate LCM of 90,53,140
2 | 90, 53, 140 |
5 | 45, 53, 70 |
9, 53, 14 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 53 x 14 = 66780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66780
Therefore, the GCF of Fractions 54/90,857/53,811/140 is 1/66780
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 90,53,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,53,140) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,53,140) x common factors =1 x 10 = 10
LCM(90,53,140) = ( 90 × 53 × 140 ) / 10
LCM(90,53,140) = 667800 / 10
LCM(90,53,140) = 66780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 54,857,811?
The HCF of 54,857,811 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 54/90, 857/53, 811/140?
Answer: GCF of Numerators as per given numbers 54/90, 857/53, 811/140 is
GCF of Numerators i.e. for 54,857,811 is 1
LCM of denominators i.e. for 90,53,140 is 66780.
Thus, GCF of Fractions is 1/66780.Finally, GCF of Fractions for 54/90, 857/53, 811/140 is 1/66780.