Use our free GCF of Fractions Calculator tool to compute the GCF of 483/259, 786/724 i.e 3/187516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/259, 786/724.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/259,786/724
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 483/259,786/724, numerators are 483,786
Denominators are 259,724
The GCF of 483,786 is 3 .
LCM of 259,724 is 187516.
The greatest common factor of 483/259,786/724 = [GCF of 483,786]/[LCM of 259,724]= 3/187516
Therefore, the GCF of 483/259,786/724 is 3/187516.
To find the highest common factor of 483,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 483,786 is 3.
Lets's calculate GCF of 483,786
3 | 483, 786 |
161, 262 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 483,786 . The biggest common factor number is the GCF number.
So the greatest common factor 483,786 is 3.
Lets's calculate LCM of 259,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 187516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187516
Therefore, the GCF of Fractions 483/259,786/724 is 3/187516
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 259,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,724) x common factors =1 x 1 = 1
LCM(259,724) = ( 259 × 724 ) / 1
LCM(259,724) = 187516 / 1
LCM(259,724) = 187516
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 483,786?
The HCF of 483,786 is 3
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 483/259, 786/724?
Answer: GCF of Numerators as per given numbers 483/259, 786/724 is
GCF of Numerators i.e. for 483,786 is 3
LCM of denominators i.e. for 259,724 is 187516.
Thus, GCF of Fractions is 3/187516.Finally, GCF of Fractions for 483/259, 786/724 is 3/187516.