Use our free GCF of Fractions Calculator tool to compute the GCF of 69/155, 81/651, 622/361 i.e 1/1175055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/155, 81/651, 622/361.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/155,81/651,622/361
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 69/155,81/651,622/361, numerators are 69,81,622
Denominators are 155,651,361
The GCF of 69,81,622 is 1 .
LCM of 155,651,361 is 1175055.
The greatest common factor of 69/155,81/651,622/361 = [GCF of 69,81,622]/[LCM of 155,651,361]= 1/1175055
Therefore, the GCF of 69/155,81/651,622/361 is 1/1175055.
To find the highest common factor of 69,81,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 81 are 1, 3, 9, 27, 81
The factors of 622 are 1, 2, 311, 622
The HCF of 69,81,622 is 1.
Lets's calculate GCF of 69,81,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 69,81,622 . The biggest common factor number is the GCF number.
So the greatest common factor 69,81,622 is 1.
Lets's calculate LCM of 155,651,361
31 | 155, 651, 361 |
5, 21, 361 |
∴ So the LCM of the given numbers is 31 x 5 x 21 x 361 = 1175055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1175055
Therefore, the GCF of Fractions 69/155,81/651,622/361 is 1/1175055
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 155,651,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,651,361) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(155,651,361) x common factors =1 x 31 = 31
LCM(155,651,361) = ( 155 × 651 × 361 ) / 31
LCM(155,651,361) = 36426705 / 31
LCM(155,651,361) = 1175055
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,81,622?
The HCF of 69,81,622 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 69/155, 81/651, 622/361?
Answer: GCF of Numerators as per given numbers 69/155, 81/651, 622/361 is
GCF of Numerators i.e. for 69,81,622 is 1
LCM of denominators i.e. for 155,651,361 is 1175055.
Thus, GCF of Fractions is 1/1175055.Finally, GCF of Fractions for 69/155, 81/651, 622/361 is 1/1175055.