Use our free GCF of Fractions Calculator tool to compute the GCF of 9/87, 24/29, 81/868, 668/857 i.e 1/64717212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/87, 24/29, 81/868, 668/857.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/87,24/29,81/868,668/857
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 9/87,24/29,81/868,668/857, numerators are 9,24,81,668
Denominators are 87,29,868,857
The GCF of 9,24,81,668 is 1 .
LCM of 87,29,868,857 is 64717212.
The greatest common factor of 9/87,24/29,81/868,668/857 = [GCF of 9,24,81,668]/[LCM of 87,29,868,857]= 1/64717212
Therefore, the GCF of 9/87,24/29,81/868,668/857 is 1/64717212.
To find the highest common factor of 9,24,81,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 81 are 1, 3, 9, 27, 81
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 9,24,81,668 is 1.
Lets's calculate GCF of 9,24,81,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 9,24,81,668 . The biggest common factor number is the GCF number.
So the greatest common factor 9,24,81,668 is 1.
Lets's calculate LCM of 87,29,868,857
29 | 87, 29, 868, 857 |
3, 1, 868, 857 |
∴ So the LCM of the given numbers is 29 x 3 x 1 x 868 x 857 = 64717212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64717212
Therefore, the GCF of Fractions 9/87,24/29,81/868,668/857 is 1/64717212
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 87,29,868,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,29,868,857) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(87,29,868,857) x common factors =1 x 29 = 29
LCM(87,29,868,857) = ( 87 × 29 × 868 × 857 ) / 29
LCM(87,29,868,857) = 1876799148 / 29
LCM(87,29,868,857) = 64717212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,24,81,668?
The HCF of 9,24,81,668 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 9/87, 24/29, 81/868, 668/857?
Answer: GCF of Numerators as per given numbers 9/87, 24/29, 81/868, 668/857 is
GCF of Numerators i.e. for 9,24,81,668 is 1
LCM of denominators i.e. for 87,29,868,857 is 64717212.
Thus, GCF of Fractions is 1/64717212.Finally, GCF of Fractions for 9/87, 24/29, 81/868, 668/857 is 1/64717212.