Use our free GCF of Fractions Calculator tool to compute the GCF of 411/793, 380/566 i.e 1/448838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/793, 380/566.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/793,380/566
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 411/793,380/566, numerators are 411,380
Denominators are 793,566
The GCF of 411,380 is 1 .
LCM of 793,566 is 448838.
The greatest common factor of 411/793,380/566 = [GCF of 411,380]/[LCM of 793,566]= 1/448838
Therefore, the GCF of 411/793,380/566 is 1/448838.
To find the highest common factor of 411,380, we have to find the factors of both numbers and list the highest common factor.
The factors of 411 are 1, 3, 137, 411
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
The HCF of 411,380 is 1.
Lets's calculate GCF of 411,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 380
:1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 411,380 . The biggest common factor number is the GCF number.
So the greatest common factor 411,380 is 1.
Lets's calculate LCM of 793,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 448838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448838
Therefore, the GCF of Fractions 411/793,380/566 is 1/448838
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 793,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,566) x common factors =1 x 1 = 1
LCM(793,566) = ( 793 × 566 ) / 1
LCM(793,566) = 448838 / 1
LCM(793,566) = 448838
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 411,380?
The HCF of 411,380 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 411/793, 380/566?
Answer: GCF of Numerators as per given numbers 411/793, 380/566 is
GCF of Numerators i.e. for 411,380 is 1
LCM of denominators i.e. for 793,566 is 448838.
Thus, GCF of Fractions is 1/448838.Finally, GCF of Fractions for 411/793, 380/566 is 1/448838.