Use our free GCF of Fractions Calculator tool to compute the GCF of 41/85, 463/70, 162/540 i.e 1/64260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/85, 463/70, 162/540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/85,463/70,162/540
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 41/85,463/70,162/540, numerators are 41,463,162
Denominators are 85,70,540
The GCF of 41,463,162 is 1 .
LCM of 85,70,540 is 64260.
The greatest common factor of 41/85,463/70,162/540 = [GCF of 41,463,162]/[LCM of 85,70,540]= 1/64260
Therefore, the GCF of 41/85,463/70,162/540 is 1/64260.
To find the highest common factor of 41,463,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 41 are 1, 41
The factors of 463 are 1, 463
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 41,463,162 is 1.
Lets's calculate GCF of 41,463,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 41
:1,41
Now, list down the factors of 463
:1,463
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 41,463,162 . The biggest common factor number is the GCF number.
So the greatest common factor 41,463,162 is 1.
Lets's calculate LCM of 85,70,540
2 | 85, 70, 540 |
5 | 85, 35, 270 |
17, 7, 54 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 7 x 54 = 64260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64260
Therefore, the GCF of Fractions 41/85,463/70,162/540 is 1/64260
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 85,70,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,70,540) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(85,70,540) x common factors =5 x 10 = 50
LCM(85,70,540) = ( 85 × 70 × 540 ) / 50
LCM(85,70,540) = 3213000 / 50
LCM(85,70,540) = 64260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 41,463,162?
The HCF of 41,463,162 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 41/85, 463/70, 162/540?
Answer: GCF of Numerators as per given numbers 41/85, 463/70, 162/540 is
GCF of Numerators i.e. for 41,463,162 is 1
LCM of denominators i.e. for 85,70,540 is 64260.
Thus, GCF of Fractions is 1/64260.Finally, GCF of Fractions for 41/85, 463/70, 162/540 is 1/64260.