Use our free GCF of Fractions Calculator tool to compute the GCF of 7/87, 85/68, 18/462, 663/864 i.e 1/32798304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/87, 85/68, 18/462, 663/864.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/87,85/68,18/462,663/864
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 7/87,85/68,18/462,663/864, numerators are 7,85,18,663
Denominators are 87,68,462,864
The GCF of 7,85,18,663 is 1 .
LCM of 87,68,462,864 is 32798304.
The greatest common factor of 7/87,85/68,18/462,663/864 = [GCF of 7,85,18,663]/[LCM of 87,68,462,864]= 1/32798304
Therefore, the GCF of 7/87,85/68,18/462,663/864 is 1/32798304.
To find the highest common factor of 7,85,18,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 85 are 1, 5, 17, 85
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 7,85,18,663 is 1.
Lets's calculate GCF of 7,85,18,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7
:1,7
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 7,85,18,663 . The biggest common factor number is the GCF number.
So the greatest common factor 7,85,18,663 is 1.
Lets's calculate LCM of 87,68,462,864
2 | 87, 68, 462, 864 |
2 | 87, 34, 231, 432 |
3 | 87, 17, 231, 216 |
29, 17, 77, 72 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 17 x 77 x 72 = 32798304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32798304
Therefore, the GCF of Fractions 7/87,85/68,18/462,663/864 is 1/32798304
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 87,68,462,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,68,462,864) = 1
common factors(in case of two or more numbers have common factors) = 72
GCF(87,68,462,864) x common factors =1 x 72 = 72
LCM(87,68,462,864) = ( 87 × 68 × 462 × 864 ) / 72
LCM(87,68,462,864) = 2361477888 / 72
LCM(87,68,462,864) = 32798304
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7,85,18,663?
The HCF of 7,85,18,663 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 7/87, 85/68, 18/462, 663/864?
Answer: GCF of Numerators as per given numbers 7/87, 85/68, 18/462, 663/864 is
GCF of Numerators i.e. for 7,85,18,663 is 1
LCM of denominators i.e. for 87,68,462,864 is 32798304.
Thus, GCF of Fractions is 1/32798304.Finally, GCF of Fractions for 7/87, 85/68, 18/462, 663/864 is 1/32798304.