Use our free GCF of Fractions Calculator tool to compute the GCF of 38/570, 29/893, 842/241 i.e 1/6456390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/570, 29/893, 842/241.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/570,29/893,842/241
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 38/570,29/893,842/241, numerators are 38,29,842
Denominators are 570,893,241
The GCF of 38,29,842 is 1 .
LCM of 570,893,241 is 6456390.
The greatest common factor of 38/570,29/893,842/241 = [GCF of 38,29,842]/[LCM of 570,893,241]= 1/6456390
Therefore, the GCF of 38/570,29/893,842/241 is 1/6456390.
To find the highest common factor of 38,29,842, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 29 are 1, 29
The factors of 842 are 1, 2, 421, 842
The HCF of 38,29,842 is 1.
Lets's calculate GCF of 38,29,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 29
:1,29
Now, list down the factors of 842
:1,2,421,842
Greatest Common Factor
We found the factors 38,29,842 . The biggest common factor number is the GCF number.
So the greatest common factor 38,29,842 is 1.
Lets's calculate LCM of 570,893,241
19 | 570, 893, 241 |
30, 47, 241 |
∴ So the LCM of the given numbers is 19 x 30 x 47 x 241 = 6456390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6456390
Therefore, the GCF of Fractions 38/570,29/893,842/241 is 1/6456390
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 570,893,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,893,241) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(570,893,241) x common factors =1 x 19 = 19
LCM(570,893,241) = ( 570 × 893 × 241 ) / 19
LCM(570,893,241) = 122671410 / 19
LCM(570,893,241) = 6456390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,29,842?
The HCF of 38,29,842 is 1
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 38/570, 29/893, 842/241?
Answer: GCF of Numerators as per given numbers 38/570, 29/893, 842/241 is
GCF of Numerators i.e. for 38,29,842 is 1
LCM of denominators i.e. for 570,893,241 is 6456390.
Thus, GCF of Fractions is 1/6456390.Finally, GCF of Fractions for 38/570, 29/893, 842/241 is 1/6456390.