Use our free GCF of Fractions Calculator tool to compute the GCF of 30/964, 40/127, 941/269 i.e 1/32933132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/964, 40/127, 941/269.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/964,40/127,941/269
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 30/964,40/127,941/269, numerators are 30,40,941
Denominators are 964,127,269
The GCF of 30,40,941 is 1 .
LCM of 964,127,269 is 32933132.
The greatest common factor of 30/964,40/127,941/269 = [GCF of 30,40,941]/[LCM of 964,127,269]= 1/32933132
Therefore, the GCF of 30/964,40/127,941/269 is 1/32933132.
To find the highest common factor of 30,40,941, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 941 are 1, 941
The HCF of 30,40,941 is 1.
Lets's calculate GCF of 30,40,941
∴ 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 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 941
:1,941
Greatest Common Factor
We found the factors 30,40,941 . The biggest common factor number is the GCF number.
So the greatest common factor 30,40,941 is 1.
Lets's calculate LCM of 964,127,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 32933132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32933132
Therefore, the GCF of Fractions 30/964,40/127,941/269 is 1/32933132
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 964,127,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,127,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,127,269) x common factors =1 x 1 = 1
LCM(964,127,269) = ( 964 × 127 × 269 ) / 1
LCM(964,127,269) = 32933132 / 1
LCM(964,127,269) = 32933132
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,40,941?
The HCF of 30,40,941 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 30/964, 40/127, 941/269?
Answer: GCF of Numerators as per given numbers 30/964, 40/127, 941/269 is
GCF of Numerators i.e. for 30,40,941 is 1
LCM of denominators i.e. for 964,127,269 is 32933132.
Thus, GCF of Fractions is 1/32933132.Finally, GCF of Fractions for 30/964, 40/127, 941/269 is 1/32933132.