Use our free GCF of Fractions Calculator tool to compute the GCF of 483/912, 583/802 i.e 1/365712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/912, 583/802.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/912,583/802
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 483/912,583/802, numerators are 483,583
Denominators are 912,802
The GCF of 483,583 is 1 .
LCM of 912,802 is 365712.
The greatest common factor of 483/912,583/802 = [GCF of 483,583]/[LCM of 912,802]= 1/365712
Therefore, the GCF of 483/912,583/802 is 1/365712.
To find the highest common factor of 483,583, 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 583 are 1, 11, 53, 583
The HCF of 483,583 is 1.
Lets's calculate GCF of 483,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 583
:1,11,53,583
Greatest Common Factor
We found the factors 483,583 . The biggest common factor number is the GCF number.
So the greatest common factor 483,583 is 1.
Lets's calculate LCM of 912,802
2 | 912, 802 |
456, 401 |
∴ So the LCM of the given numbers is 2 x 456 x 401 = 365712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365712
Therefore, the GCF of Fractions 483/912,583/802 is 1/365712
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 912,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(912,802) x common factors =2 x 1 = 2
LCM(912,802) = ( 912 × 802 ) / 2
LCM(912,802) = 731424 / 2
LCM(912,802) = 365712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 483,583?
The HCF of 483,583 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 483/912, 583/802?
Answer: GCF of Numerators as per given numbers 483/912, 583/802 is
GCF of Numerators i.e. for 483,583 is 1
LCM of denominators i.e. for 912,802 is 365712.
Thus, GCF of Fractions is 1/365712.Finally, GCF of Fractions for 483/912, 583/802 is 1/365712.