Use our free GCF of Fractions Calculator tool to compute the GCF of 30/942, 675/361, 403/791 i.e 1/268989042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/942, 675/361, 403/791.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/942,675/361,403/791
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 30/942,675/361,403/791, numerators are 30,675,403
Denominators are 942,361,791
The GCF of 30,675,403 is 1 .
LCM of 942,361,791 is 268989042.
The greatest common factor of 30/942,675/361,403/791 = [GCF of 30,675,403]/[LCM of 942,361,791]= 1/268989042
Therefore, the GCF of 30/942,675/361,403/791 is 1/268989042.
To find the highest common factor of 30,675,403, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 403 are 1, 13, 31, 403
The HCF of 30,675,403 is 1.
Lets's calculate GCF of 30,675,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 403
:1,13,31,403
Greatest Common Factor
We found the factors 30,675,403 . The biggest common factor number is the GCF number.
So the greatest common factor 30,675,403 is 1.
Lets's calculate LCM of 942,361,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 268989042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268989042
Therefore, the GCF of Fractions 30/942,675/361,403/791 is 1/268989042
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 942,361,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,361,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,361,791) x common factors =1 x 1 = 1
LCM(942,361,791) = ( 942 × 361 × 791 ) / 1
LCM(942,361,791) = 268989042 / 1
LCM(942,361,791) = 268989042
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,675,403?
The HCF of 30,675,403 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 30/942, 675/361, 403/791?
Answer: GCF of Numerators as per given numbers 30/942, 675/361, 403/791 is
GCF of Numerators i.e. for 30,675,403 is 1
LCM of denominators i.e. for 942,361,791 is 268989042.
Thus, GCF of Fractions is 1/268989042.Finally, GCF of Fractions for 30/942, 675/361, 403/791 is 1/268989042.