Use our free GCF of Fractions Calculator tool to compute the GCF of 963/457, 534/249 i.e 3/113793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/457, 534/249.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 963/457,534/249
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 963/457,534/249, numerators are 963,534
Denominators are 457,249
The GCF of 963,534 is 3 .
LCM of 457,249 is 113793.
The greatest common factor of 963/457,534/249 = [GCF of 963,534]/[LCM of 457,249]= 3/113793
Therefore, the GCF of 963/457,534/249 is 3/113793.
To find the highest common factor of 963,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 963,534 is 3.
Lets's calculate GCF of 963,534
3 | 963, 534 |
321, 178 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 963,534 . The biggest common factor number is the GCF number.
So the greatest common factor 963,534 is 3.
Lets's calculate LCM of 457,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 113793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113793
Therefore, the GCF of Fractions 963/457,534/249 is 3/113793
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 457,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,249) x common factors =1 x 1 = 1
LCM(457,249) = ( 457 × 249 ) / 1
LCM(457,249) = 113793 / 1
LCM(457,249) = 113793
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 963,534?
The HCF of 963,534 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 963/457, 534/249?
Answer: GCF of Numerators as per given numbers 963/457, 534/249 is
GCF of Numerators i.e. for 963,534 is 3
LCM of denominators i.e. for 457,249 is 113793.
Thus, GCF of Fractions is 3/113793.Finally, GCF of Fractions for 963/457, 534/249 is 3/113793.