Use our free GCF of Fractions Calculator tool to compute the GCF of 786/320, 605/476 i.e 1/38080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 786/320, 605/476.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/320,605/476
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 786/320,605/476, numerators are 786,605
Denominators are 320,476
The GCF of 786,605 is 1 .
LCM of 320,476 is 38080.
The greatest common factor of 786/320,605/476 = [GCF of 786,605]/[LCM of 320,476]= 1/38080
Therefore, the GCF of 786/320,605/476 is 1/38080.
To find the highest common factor of 786,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 786,605 is 1.
Lets's calculate GCF of 786,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 786,605 . The biggest common factor number is the GCF number.
So the greatest common factor 786,605 is 1.
Lets's calculate LCM of 320,476
2 | 320, 476 |
2 | 160, 238 |
80, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 80 x 119 = 38080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38080
Therefore, the GCF of Fractions 786/320,605/476 is 1/38080
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 320,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(320,476) x common factors =4 x 1 = 4
LCM(320,476) = ( 320 × 476 ) / 4
LCM(320,476) = 152320 / 4
LCM(320,476) = 38080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 786,605?
The HCF of 786,605 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 786/320, 605/476?
Answer: GCF of Numerators as per given numbers 786/320, 605/476 is
GCF of Numerators i.e. for 786,605 is 1
LCM of denominators i.e. for 320,476 is 38080.
Thus, GCF of Fractions is 1/38080.Finally, GCF of Fractions for 786/320, 605/476 is 1/38080.