Use our free GCF of Fractions Calculator tool to compute the GCF of 69/774, 29/251, 288/131 i.e 1/25449894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/774, 29/251, 288/131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/774,29/251,288/131
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 69/774,29/251,288/131, numerators are 69,29,288
Denominators are 774,251,131
The GCF of 69,29,288 is 1 .
LCM of 774,251,131 is 25449894.
The greatest common factor of 69/774,29/251,288/131 = [GCF of 69,29,288]/[LCM of 774,251,131]= 1/25449894
Therefore, the GCF of 69/774,29/251,288/131 is 1/25449894.
To find the highest common factor of 69,29,288, 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 29 are 1, 29
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 69,29,288 is 1.
Lets's calculate GCF of 69,29,288
∴ 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 29
:1,29
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 69,29,288 . The biggest common factor number is the GCF number.
So the greatest common factor 69,29,288 is 1.
Lets's calculate LCM of 774,251,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 25449894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25449894
Therefore, the GCF of Fractions 69/774,29/251,288/131 is 1/25449894
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 774,251,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,251,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,251,131) x common factors =1 x 1 = 1
LCM(774,251,131) = ( 774 × 251 × 131 ) / 1
LCM(774,251,131) = 25449894 / 1
LCM(774,251,131) = 25449894
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,29,288?
The HCF of 69,29,288 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 69/774, 29/251, 288/131?
Answer: GCF of Numerators as per given numbers 69/774, 29/251, 288/131 is
GCF of Numerators i.e. for 69,29,288 is 1
LCM of denominators i.e. for 774,251,131 is 25449894.
Thus, GCF of Fractions is 1/25449894.Finally, GCF of Fractions for 69/774, 29/251, 288/131 is 1/25449894.