Use our free GCF of Fractions Calculator tool to compute the GCF of 472/19, 711/76, 764/54 i.e 1/2052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/19, 711/76, 764/54.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/19,711/76,764/54
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 472/19,711/76,764/54, numerators are 472,711,764
Denominators are 19,76,54
The GCF of 472,711,764 is 1 .
LCM of 19,76,54 is 2052.
The greatest common factor of 472/19,711/76,764/54 = [GCF of 472,711,764]/[LCM of 19,76,54]= 1/2052
Therefore, the GCF of 472/19,711/76,764/54 is 1/2052.
To find the highest common factor of 472,711,764, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 764 are 1, 2, 4, 191, 382, 764
The HCF of 472,711,764 is 1.
Lets's calculate GCF of 472,711,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 764
:1,2,4,191,382,764
Greatest Common Factor
We found the factors 472,711,764 . The biggest common factor number is the GCF number.
So the greatest common factor 472,711,764 is 1.
Lets's calculate LCM of 19,76,54
2 | 19, 76, 54 |
19 | 19, 38, 27 |
1, 2, 27 |
∴ So the LCM of the given numbers is 2 x 19 x 1 x 2 x 27 = 2052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2052
Therefore, the GCF of Fractions 472/19,711/76,764/54 is 1/2052
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 19,76,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,76,54) = 1
common factors(in case of two or more numbers have common factors) = 38
GCF(19,76,54) x common factors =1 x 38 = 38
LCM(19,76,54) = ( 19 × 76 × 54 ) / 38
LCM(19,76,54) = 77976 / 38
LCM(19,76,54) = 2052
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 472,711,764?
The HCF of 472,711,764 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 472/19, 711/76, 764/54?
Answer: GCF of Numerators as per given numbers 472/19, 711/76, 764/54 is
GCF of Numerators i.e. for 472,711,764 is 1
LCM of denominators i.e. for 19,76,54 is 2052.
Thus, GCF of Fractions is 1/2052.Finally, GCF of Fractions for 472/19, 711/76, 764/54 is 1/2052.