Use our free GCF of Fractions Calculator tool to compute the GCF of 48/86, 465/94, 810/225 i.e 3/909450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/86, 465/94, 810/225.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/86,465/94,810/225
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 48/86,465/94,810/225, numerators are 48,465,810
Denominators are 86,94,225
The GCF of 48,465,810 is 3 .
LCM of 86,94,225 is 909450.
The greatest common factor of 48/86,465/94,810/225 = [GCF of 48,465,810]/[LCM of 86,94,225]= 3/909450
Therefore, the GCF of 48/86,465/94,810/225 is 3/909450.
To find the highest common factor of 48,465,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 48,465,810 is 3.
Lets's calculate GCF of 48,465,810
3 | 48, 465, 810 |
16, 155, 270 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 465
:1,3,5,15,31,93,155,465
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 48,465,810 . The biggest common factor number is the GCF number.
So the greatest common factor 48,465,810 is 3.
Lets's calculate LCM of 86,94,225
2 | 86, 94, 225 |
43, 47, 225 |
∴ So the LCM of the given numbers is 2 x 43 x 47 x 225 = 909450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/909450
Therefore, the GCF of Fractions 48/86,465/94,810/225 is 3/909450
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 86,94,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,94,225) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,94,225) x common factors =1 x 2 = 2
LCM(86,94,225) = ( 86 × 94 × 225 ) / 2
LCM(86,94,225) = 1818900 / 2
LCM(86,94,225) = 909450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,465,810?
The HCF of 48,465,810 is 3
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 48/86, 465/94, 810/225?
Answer: GCF of Numerators as per given numbers 48/86, 465/94, 810/225 is
GCF of Numerators i.e. for 48,465,810 is 3
LCM of denominators i.e. for 86,94,225 is 909450.
Thus, GCF of Fractions is 3/909450.Finally, GCF of Fractions for 48/86, 465/94, 810/225 is 3/909450.