Use our free GCF of Fractions Calculator tool to compute the GCF of 363/558, 639/485 i.e 3/270630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/558, 639/485.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 363/558,639/485
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 363/558,639/485, numerators are 363,639
Denominators are 558,485
The GCF of 363,639 is 3 .
LCM of 558,485 is 270630.
The greatest common factor of 363/558,639/485 = [GCF of 363,639]/[LCM of 558,485]= 3/270630
Therefore, the GCF of 363/558,639/485 is 3/270630.
To find the highest common factor of 363,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 363 are 1, 3, 11, 33, 121, 363
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 363,639 is 3.
Lets's calculate GCF of 363,639
3 | 363, 639 |
121, 213 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 363
:1,3,11,33,121,363
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 363,639 . The biggest common factor number is the GCF number.
So the greatest common factor 363,639 is 3.
Lets's calculate LCM of 558,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 270630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/270630
Therefore, the GCF of Fractions 363/558,639/485 is 3/270630
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 558,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,485) x common factors =1 x 1 = 1
LCM(558,485) = ( 558 × 485 ) / 1
LCM(558,485) = 270630 / 1
LCM(558,485) = 270630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 363,639?
The HCF of 363,639 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 363/558, 639/485?
Answer: GCF of Numerators as per given numbers 363/558, 639/485 is
GCF of Numerators i.e. for 363,639 is 3
LCM of denominators i.e. for 558,485 is 270630.
Thus, GCF of Fractions is 3/270630.Finally, GCF of Fractions for 363/558, 639/485 is 3/270630.