Use our free GCF of Fractions Calculator tool to compute the GCF of 363/644, 558/651 i.e 3/59892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/644, 558/651.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 363/644,558/651
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 363/644,558/651, numerators are 363,558
Denominators are 644,651
The GCF of 363,558 is 3 .
LCM of 644,651 is 59892.
The greatest common factor of 363/644,558/651 = [GCF of 363,558]/[LCM of 644,651]= 3/59892
Therefore, the GCF of 363/644,558/651 is 3/59892.
To find the highest common factor of 363,558, 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 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The HCF of 363,558 is 3.
Lets's calculate GCF of 363,558
3 | 363, 558 |
121, 186 |
∴ 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 558
:1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 363,558 . The biggest common factor number is the GCF number.
So the greatest common factor 363,558 is 3.
Lets's calculate LCM of 644,651
7 | 644, 651 |
92, 93 |
∴ So the LCM of the given numbers is 7 x 92 x 93 = 59892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59892
Therefore, the GCF of Fractions 363/644,558/651 is 3/59892
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 644,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,651) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(644,651) x common factors =7 x 1 = 7
LCM(644,651) = ( 644 × 651 ) / 7
LCM(644,651) = 419244 / 7
LCM(644,651) = 59892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 363,558?
The HCF of 363,558 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 363/644, 558/651?
Answer: GCF of Numerators as per given numbers 363/644, 558/651 is
GCF of Numerators i.e. for 363,558 is 3
LCM of denominators i.e. for 644,651 is 59892.
Thus, GCF of Fractions is 3/59892.Finally, GCF of Fractions for 363/644, 558/651 is 3/59892.