Use our free GCF of Fractions Calculator tool to compute the GCF of 14/42, 570/99, 585/397 i.e 1/550242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/42, 570/99, 585/397.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/42,570/99,585/397
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 14/42,570/99,585/397, numerators are 14,570,585
Denominators are 42,99,397
The GCF of 14,570,585 is 1 .
LCM of 42,99,397 is 550242.
The greatest common factor of 14/42,570/99,585/397 = [GCF of 14,570,585]/[LCM of 42,99,397]= 1/550242
Therefore, the GCF of 14/42,570/99,585/397 is 1/550242.
To find the highest common factor of 14,570,585, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The HCF of 14,570,585 is 1.
Lets's calculate GCF of 14,570,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 14,570,585 . The biggest common factor number is the GCF number.
So the greatest common factor 14,570,585 is 1.
Lets's calculate LCM of 42,99,397
3 | 42, 99, 397 |
14, 33, 397 |
∴ So the LCM of the given numbers is 3 x 14 x 33 x 397 = 550242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550242
Therefore, the GCF of Fractions 14/42,570/99,585/397 is 1/550242
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 42,99,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,99,397) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(42,99,397) x common factors =1 x 3 = 3
LCM(42,99,397) = ( 42 × 99 × 397 ) / 3
LCM(42,99,397) = 1650726 / 3
LCM(42,99,397) = 550242
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,570,585?
The HCF of 14,570,585 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 14/42, 570/99, 585/397?
Answer: GCF of Numerators as per given numbers 14/42, 570/99, 585/397 is
GCF of Numerators i.e. for 14,570,585 is 1
LCM of denominators i.e. for 42,99,397 is 550242.
Thus, GCF of Fractions is 1/550242.Finally, GCF of Fractions for 14/42, 570/99, 585/397 is 1/550242.