Use our free GCF of Fractions Calculator tool to compute the GCF of 69/158, 838/835, 404/477 i.e 1/62930610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/158, 838/835, 404/477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/158,838/835,404/477
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 69/158,838/835,404/477, numerators are 69,838,404
Denominators are 158,835,477
The GCF of 69,838,404 is 1 .
LCM of 158,835,477 is 62930610.
The greatest common factor of 69/158,838/835,404/477 = [GCF of 69,838,404]/[LCM of 158,835,477]= 1/62930610
Therefore, the GCF of 69/158,838/835,404/477 is 1/62930610.
To find the highest common factor of 69,838,404, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 838 are 1, 2, 419, 838
The factors of 404 are 1, 2, 4, 101, 202, 404
The HCF of 69,838,404 is 1.
Lets's calculate GCF of 69,838,404
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 404
:1,2,4,101,202,404
Greatest Common Factor
We found the factors 69,838,404 . The biggest common factor number is the GCF number.
So the greatest common factor 69,838,404 is 1.
Lets's calculate LCM of 158,835,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 62930610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62930610
Therefore, the GCF of Fractions 69/158,838/835,404/477 is 1/62930610
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 158,835,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,835,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,835,477) x common factors =1 x 1 = 1
LCM(158,835,477) = ( 158 × 835 × 477 ) / 1
LCM(158,835,477) = 62930610 / 1
LCM(158,835,477) = 62930610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,838,404?
The HCF of 69,838,404 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 69/158, 838/835, 404/477?
Answer: GCF of Numerators as per given numbers 69/158, 838/835, 404/477 is
GCF of Numerators i.e. for 69,838,404 is 1
LCM of denominators i.e. for 158,835,477 is 62930610.
Thus, GCF of Fractions is 1/62930610.Finally, GCF of Fractions for 69/158, 838/835, 404/477 is 1/62930610.