Use our free GCF of Fractions Calculator tool to compute the GCF of 13/198, 82/943, 634/785 i.e 1/146570490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/198, 82/943, 634/785.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/198,82/943,634/785
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 13/198,82/943,634/785, numerators are 13,82,634
Denominators are 198,943,785
The GCF of 13,82,634 is 1 .
LCM of 198,943,785 is 146570490.
The greatest common factor of 13/198,82/943,634/785 = [GCF of 13,82,634]/[LCM of 198,943,785]= 1/146570490
Therefore, the GCF of 13/198,82/943,634/785 is 1/146570490.
To find the highest common factor of 13,82,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 82 are 1, 2, 41, 82
The factors of 634 are 1, 2, 317, 634
The HCF of 13,82,634 is 1.
Lets's calculate GCF of 13,82,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 13,82,634 . The biggest common factor number is the GCF number.
So the greatest common factor 13,82,634 is 1.
Lets's calculate LCM of 198,943,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 146570490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146570490
Therefore, the GCF of Fractions 13/198,82/943,634/785 is 1/146570490
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 198,943,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,943,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,943,785) x common factors =1 x 1 = 1
LCM(198,943,785) = ( 198 × 943 × 785 ) / 1
LCM(198,943,785) = 146570490 / 1
LCM(198,943,785) = 146570490
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,82,634?
The HCF of 13,82,634 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 13/198, 82/943, 634/785?
Answer: GCF of Numerators as per given numbers 13/198, 82/943, 634/785 is
GCF of Numerators i.e. for 13,82,634 is 1
LCM of denominators i.e. for 198,943,785 is 146570490.
Thus, GCF of Fractions is 1/146570490.Finally, GCF of Fractions for 13/198, 82/943, 634/785 is 1/146570490.