Use our free GCF of Fractions Calculator tool to compute the GCF of 1830/935, 1963/934 i.e 1/873290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1830/935, 1963/934.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1830/935,1963/934
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 1830/935,1963/934, numerators are 1830,1963
Denominators are 935,934
The GCF of 1830,1963 is 1 .
LCM of 935,934 is 873290.
The greatest common factor of 1830/935,1963/934 = [GCF of 1830,1963]/[LCM of 935,934]= 1/873290
Therefore, the GCF of 1830/935,1963/934 is 1/873290.
To find the highest common factor of 1830,1963, we have to find the factors of both numbers and list the highest common factor.
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
The factors of 1963 are 1, 13, 151, 1963
The HCF of 1830,1963 is 1.
Lets's calculate GCF of 1830,1963
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1830
:1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Now, list down the factors of 1963
:1,13,151,1963
Greatest Common Factor
We found the factors 1830,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 1830,1963 is 1.
Lets's calculate LCM of 935,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 873290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/873290
Therefore, the GCF of Fractions 1830/935,1963/934 is 1/873290
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 935,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,934) x common factors =1 x 1 = 1
LCM(935,934) = ( 935 × 934 ) / 1
LCM(935,934) = 873290 / 1
LCM(935,934) = 873290
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1830,1963?
The HCF of 1830,1963 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 1830/935, 1963/934?
Answer: GCF of Numerators as per given numbers 1830/935, 1963/934 is
GCF of Numerators i.e. for 1830,1963 is 1
LCM of denominators i.e. for 935,934 is 873290.
Thus, GCF of Fractions is 1/873290.Finally, GCF of Fractions for 1830/935, 1963/934 is 1/873290.