Use our free GCF of Fractions Calculator tool to compute the GCF of 22/18, 120/87, 704/185 i.e 2/96570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/18, 120/87, 704/185.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/18,120/87,704/185
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 22/18,120/87,704/185, numerators are 22,120,704
Denominators are 18,87,185
The GCF of 22,120,704 is 2 .
LCM of 18,87,185 is 96570.
The greatest common factor of 22/18,120/87,704/185 = [GCF of 22,120,704]/[LCM of 18,87,185]= 2/96570
Therefore, the GCF of 22/18,120/87,704/185 is 2/96570.
To find the highest common factor of 22,120,704, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The HCF of 22,120,704 is 2.
Lets's calculate GCF of 22,120,704
2 | 22, 120, 704 |
11, 60, 352 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 22,120,704 . The biggest common factor number is the GCF number.
So the greatest common factor 22,120,704 is 2.
Lets's calculate LCM of 18,87,185
3 | 18, 87, 185 |
6, 29, 185 |
∴ So the LCM of the given numbers is 3 x 6 x 29 x 185 = 96570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96570
Therefore, the GCF of Fractions 22/18,120/87,704/185 is 2/96570
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 18,87,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,87,185) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(18,87,185) x common factors =1 x 3 = 3
LCM(18,87,185) = ( 18 × 87 × 185 ) / 3
LCM(18,87,185) = 289710 / 3
LCM(18,87,185) = 96570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,120,704?
The HCF of 22,120,704 is 2
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 22/18, 120/87, 704/185?
Answer: GCF of Numerators as per given numbers 22/18, 120/87, 704/185 is
GCF of Numerators i.e. for 22,120,704 is 2
LCM of denominators i.e. for 18,87,185 is 96570.
Thus, GCF of Fractions is 2/96570.Finally, GCF of Fractions for 22/18, 120/87, 704/185 is 2/96570.