Use our free GCF of Fractions Calculator tool to compute the GCF of 5/73, 36/64, 15/311, 362/545 i.e 1/791880640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5/73, 36/64, 15/311, 362/545.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/73,36/64,15/311,362/545
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 5/73,36/64,15/311,362/545, numerators are 5,36,15,362
Denominators are 73,64,311,545
The GCF of 5,36,15,362 is 1 .
LCM of 73,64,311,545 is 791880640.
The greatest common factor of 5/73,36/64,15/311,362/545 = [GCF of 5,36,15,362]/[LCM of 73,64,311,545]= 1/791880640
Therefore, the GCF of 5/73,36/64,15/311,362/545 is 1/791880640.
To find the highest common factor of 5,36,15,362, we have to find the factors of both numbers and list the highest common factor.
The factors of 5 are 1, 5
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 15 are 1, 3, 5, 15
The factors of 362 are 1, 2, 181, 362
The HCF of 5,36,15,362 is 1.
Lets's calculate GCF of 5,36,15,362
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5
:1,5
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 362
:1,2,181,362
Greatest Common Factor
We found the factors 5,36,15,362 . The biggest common factor number is the GCF number.
So the greatest common factor 5,36,15,362 is 1.
Lets's calculate LCM of 73,64,311,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 791880640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791880640
Therefore, the GCF of Fractions 5/73,36/64,15/311,362/545 is 1/791880640
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 73,64,311,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,64,311,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,64,311,545) x common factors =1 x 1 = 1
LCM(73,64,311,545) = ( 73 × 64 × 311 × 545 ) / 1
LCM(73,64,311,545) = 791880640 / 1
LCM(73,64,311,545) = 791880640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5,36,15,362?
The HCF of 5,36,15,362 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 5/73, 36/64, 15/311, 362/545?
Answer: GCF of Numerators as per given numbers 5/73, 36/64, 15/311, 362/545 is
GCF of Numerators i.e. for 5,36,15,362 is 1
LCM of denominators i.e. for 73,64,311,545 is 791880640.
Thus, GCF of Fractions is 1/791880640.Finally, GCF of Fractions for 5/73, 36/64, 15/311, 362/545 is 1/791880640.