Use our free GCF of Fractions Calculator tool to compute the GCF of 36/58, 988/28, 558/239 i.e 2/194068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/58, 988/28, 558/239.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/58,988/28,558/239
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 36/58,988/28,558/239, numerators are 36,988,558
Denominators are 58,28,239
The GCF of 36,988,558 is 2 .
LCM of 58,28,239 is 194068.
The greatest common factor of 36/58,988/28,558/239 = [GCF of 36,988,558]/[LCM of 58,28,239]= 2/194068
Therefore, the GCF of 36/58,988/28,558/239 is 2/194068.
To find the highest common factor of 36,988,558, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The HCF of 36,988,558 is 2.
Lets's calculate GCF of 36,988,558
2 | 36, 988, 558 |
18, 494, 279 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
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 36,988,558 . The biggest common factor number is the GCF number.
So the greatest common factor 36,988,558 is 2.
Lets's calculate LCM of 58,28,239
2 | 58, 28, 239 |
29, 14, 239 |
∴ So the LCM of the given numbers is 2 x 29 x 14 x 239 = 194068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194068
Therefore, the GCF of Fractions 36/58,988/28,558/239 is 2/194068
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 58,28,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,28,239) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,28,239) x common factors =1 x 2 = 2
LCM(58,28,239) = ( 58 × 28 × 239 ) / 2
LCM(58,28,239) = 388136 / 2
LCM(58,28,239) = 194068
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,988,558?
The HCF of 36,988,558 is 2
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 36/58, 988/28, 558/239?
Answer: GCF of Numerators as per given numbers 36/58, 988/28, 558/239 is
GCF of Numerators i.e. for 36,988,558 is 2
LCM of denominators i.e. for 58,28,239 is 194068.
Thus, GCF of Fractions is 2/194068.Finally, GCF of Fractions for 36/58, 988/28, 558/239 is 2/194068.