Use our free GCF of Fractions Calculator tool to compute the GCF of 78/592, 819/115, 269/455 i.e 1/6195280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/592, 819/115, 269/455.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/592,819/115,269/455
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 78/592,819/115,269/455, numerators are 78,819,269
Denominators are 592,115,455
The GCF of 78,819,269 is 1 .
LCM of 592,115,455 is 6195280.
The greatest common factor of 78/592,819/115,269/455 = [GCF of 78,819,269]/[LCM of 592,115,455]= 1/6195280
Therefore, the GCF of 78/592,819/115,269/455 is 1/6195280.
To find the highest common factor of 78,819,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 269 are 1, 269
The HCF of 78,819,269 is 1.
Lets's calculate GCF of 78,819,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 78,819,269 . The biggest common factor number is the GCF number.
So the greatest common factor 78,819,269 is 1.
Lets's calculate LCM of 592,115,455
5 | 592, 115, 455 |
592, 23, 91 |
∴ So the LCM of the given numbers is 5 x 592 x 23 x 91 = 6195280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6195280
Therefore, the GCF of Fractions 78/592,819/115,269/455 is 1/6195280
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 592,115,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,115,455) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(592,115,455) x common factors =1 x 5 = 5
LCM(592,115,455) = ( 592 × 115 × 455 ) / 5
LCM(592,115,455) = 30976400 / 5
LCM(592,115,455) = 6195280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 78,819,269?
The HCF of 78,819,269 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 78/592, 819/115, 269/455?
Answer: GCF of Numerators as per given numbers 78/592, 819/115, 269/455 is
GCF of Numerators i.e. for 78,819,269 is 1
LCM of denominators i.e. for 592,115,455 is 6195280.
Thus, GCF of Fractions is 1/6195280.Finally, GCF of Fractions for 78/592, 819/115, 269/455 is 1/6195280.