Use our free GCF of Fractions Calculator tool to compute the GCF of 83/800, 805/287, 562/394 i.e 1/45231200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/800, 805/287, 562/394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/800,805/287,562/394
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 83/800,805/287,562/394, numerators are 83,805,562
Denominators are 800,287,394
The GCF of 83,805,562 is 1 .
LCM of 800,287,394 is 45231200.
The greatest common factor of 83/800,805/287,562/394 = [GCF of 83,805,562]/[LCM of 800,287,394]= 1/45231200
Therefore, the GCF of 83/800,805/287,562/394 is 1/45231200.
To find the highest common factor of 83,805,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The factors of 562 are 1, 2, 281, 562
The HCF of 83,805,562 is 1.
Lets's calculate GCF of 83,805,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 83
:1,83
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 83,805,562 . The biggest common factor number is the GCF number.
So the greatest common factor 83,805,562 is 1.
Lets's calculate LCM of 800,287,394
2 | 800, 287, 394 |
400, 287, 197 |
∴ So the LCM of the given numbers is 2 x 400 x 287 x 197 = 45231200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45231200
Therefore, the GCF of Fractions 83/800,805/287,562/394 is 1/45231200
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 800,287,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,287,394) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(800,287,394) x common factors =1 x 2 = 2
LCM(800,287,394) = ( 800 × 287 × 394 ) / 2
LCM(800,287,394) = 90462400 / 2
LCM(800,287,394) = 45231200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 83,805,562?
The HCF of 83,805,562 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 83/800, 805/287, 562/394?
Answer: GCF of Numerators as per given numbers 83/800, 805/287, 562/394 is
GCF of Numerators i.e. for 83,805,562 is 1
LCM of denominators i.e. for 800,287,394 is 45231200.
Thus, GCF of Fractions is 1/45231200.Finally, GCF of Fractions for 83/800, 805/287, 562/394 is 1/45231200.