Use our free GCF of Fractions Calculator tool to compute the GCF of 558/994, 372/306 i.e 186/152082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/994, 372/306.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/994,372/306
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 558/994,372/306, numerators are 558,372
Denominators are 994,306
The GCF of 558,372 is 186 .
LCM of 994,306 is 152082.
The greatest common factor of 558/994,372/306 = [GCF of 558,372]/[LCM of 994,306]= 186/152082
Therefore, the GCF of 558/994,372/306 is 186/152082.
To find the highest common factor of 558,372, we have to find the factors of both numbers and list the highest common factor.
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The HCF of 558,372 is 186.
Lets's calculate GCF of 558,372
2 | 558, 372 |
3 | 279, 186 |
31 | 93, 62 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 3 x 31 = 186
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 558,372 . The biggest common factor number is the GCF number.
So the greatest common factor 558,372 is 186.
Lets's calculate LCM of 994,306
2 | 994, 306 |
497, 153 |
∴ So the LCM of the given numbers is 2 x 497 x 153 = 152082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 186/152082
Therefore, the GCF of Fractions 558/994,372/306 is 186/152082
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 994,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,306) x common factors =2 x 1 = 2
LCM(994,306) = ( 994 × 306 ) / 2
LCM(994,306) = 304164 / 2
LCM(994,306) = 152082
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 558,372?
The HCF of 558,372 is 186
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 558/994, 372/306?
Answer: GCF of Numerators as per given numbers 558/994, 372/306 is
GCF of Numerators i.e. for 558,372 is 186
LCM of denominators i.e. for 994,306 is 152082.
Thus, GCF of Fractions is 186/152082.Finally, GCF of Fractions for 558/994, 372/306 is 186/152082.