Use our free GCF of Fractions Calculator tool to compute the GCF of 558/912, 231/172 i.e 3/39216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/912, 231/172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/912,231/172
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 558/912,231/172, numerators are 558,231
Denominators are 912,172
The GCF of 558,231 is 3 .
LCM of 912,172 is 39216.
The greatest common factor of 558/912,231/172 = [GCF of 558,231]/[LCM of 912,172]= 3/39216
Therefore, the GCF of 558/912,231/172 is 3/39216.
To find the highest common factor of 558,231, 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 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 558,231 is 3.
Lets's calculate GCF of 558,231
3 | 558, 231 |
186, 77 |
∴ So the GCF of the given numbers is 3 = 3
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 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 558,231 . The biggest common factor number is the GCF number.
So the greatest common factor 558,231 is 3.
Lets's calculate LCM of 912,172
2 | 912, 172 |
2 | 456, 86 |
228, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 228 x 43 = 39216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39216
Therefore, the GCF of Fractions 558/912,231/172 is 3/39216
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 912,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(912,172) x common factors =4 x 1 = 4
LCM(912,172) = ( 912 × 172 ) / 4
LCM(912,172) = 156864 / 4
LCM(912,172) = 39216
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 558,231?
The HCF of 558,231 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 558/912, 231/172?
Answer: GCF of Numerators as per given numbers 558/912, 231/172 is
GCF of Numerators i.e. for 558,231 is 3
LCM of denominators i.e. for 912,172 is 39216.
Thus, GCF of Fractions is 3/39216.Finally, GCF of Fractions for 558/912, 231/172 is 3/39216.