Use our free GCF of Fractions Calculator tool to compute the GCF of 558/530, 138/570 i.e 6/30210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/530, 138/570.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/530,138/570
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 558/530,138/570, numerators are 558,138
Denominators are 530,570
The GCF of 558,138 is 6 .
LCM of 530,570 is 30210.
The greatest common factor of 558/530,138/570 = [GCF of 558,138]/[LCM of 530,570]= 6/30210
Therefore, the GCF of 558/530,138/570 is 6/30210.
To find the highest common factor of 558,138, 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 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 558,138 is 6.
Lets's calculate GCF of 558,138
2 | 558, 138 |
3 | 279, 69 |
93, 23 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 558,138 . The biggest common factor number is the GCF number.
So the greatest common factor 558,138 is 6.
Lets's calculate LCM of 530,570
2 | 530, 570 |
5 | 265, 285 |
53, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 53 x 57 = 30210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/30210
Therefore, the GCF of Fractions 558/530,138/570 is 6/30210
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 530,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,570) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(530,570) x common factors =10 x 1 = 10
LCM(530,570) = ( 530 × 570 ) / 10
LCM(530,570) = 302100 / 10
LCM(530,570) = 30210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 558,138?
The HCF of 558,138 is 6
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 558/530, 138/570?
Answer: GCF of Numerators as per given numbers 558/530, 138/570 is
GCF of Numerators i.e. for 558,138 is 6
LCM of denominators i.e. for 530,570 is 30210.
Thus, GCF of Fractions is 6/30210.Finally, GCF of Fractions for 558/530, 138/570 is 6/30210.