Use our free GCF of Fractions Calculator tool to compute the GCF of 51/39, 194/29, 744/632 i.e 1/714792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/39, 194/29, 744/632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/39,194/29,744/632
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 51/39,194/29,744/632, numerators are 51,194,744
Denominators are 39,29,632
The GCF of 51,194,744 is 1 .
LCM of 39,29,632 is 714792.
The greatest common factor of 51/39,194/29,744/632 = [GCF of 51,194,744]/[LCM of 39,29,632]= 1/714792
Therefore, the GCF of 51/39,194/29,744/632 is 1/714792.
To find the highest common factor of 51,194,744, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 194 are 1, 2, 97, 194
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The HCF of 51,194,744 is 1.
Lets's calculate GCF of 51,194,744
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 194
:1,2,97,194
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 51,194,744 . The biggest common factor number is the GCF number.
So the greatest common factor 51,194,744 is 1.
Lets's calculate LCM of 39,29,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 714792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714792
Therefore, the GCF of Fractions 51/39,194/29,744/632 is 1/714792
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 39,29,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,29,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,29,632) x common factors =1 x 1 = 1
LCM(39,29,632) = ( 39 × 29 × 632 ) / 1
LCM(39,29,632) = 714792 / 1
LCM(39,29,632) = 714792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,194,744?
The HCF of 51,194,744 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 51/39, 194/29, 744/632?
Answer: GCF of Numerators as per given numbers 51/39, 194/29, 744/632 is
GCF of Numerators i.e. for 51,194,744 is 1
LCM of denominators i.e. for 39,29,632 is 714792.
Thus, GCF of Fractions is 1/714792.Finally, GCF of Fractions for 51/39, 194/29, 744/632 is 1/714792.