Use our free GCF of Fractions Calculator tool to compute the GCF of 9/28, 13/62, 30/299, 235/808 i.e 1/52425464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/28, 13/62, 30/299, 235/808.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/28,13/62,30/299,235/808
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 9/28,13/62,30/299,235/808, numerators are 9,13,30,235
Denominators are 28,62,299,808
The GCF of 9,13,30,235 is 1 .
LCM of 28,62,299,808 is 52425464.
The greatest common factor of 9/28,13/62,30/299,235/808 = [GCF of 9,13,30,235]/[LCM of 28,62,299,808]= 1/52425464
Therefore, the GCF of 9/28,13/62,30/299,235/808 is 1/52425464.
To find the highest common factor of 9,13,30,235, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 13 are 1, 13
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 235 are 1, 5, 47, 235
The HCF of 9,13,30,235 is 1.
Lets's calculate GCF of 9,13,30,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 13
:1,13
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 235
:1,5,47,235
Greatest Common Factor
We found the factors 9,13,30,235 . The biggest common factor number is the GCF number.
So the greatest common factor 9,13,30,235 is 1.
Lets's calculate LCM of 28,62,299,808
2 | 28, 62, 299, 808 |
2 | 14, 31, 299, 404 |
7, 31, 299, 202 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 31 x 299 x 202 = 52425464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52425464
Therefore, the GCF of Fractions 9/28,13/62,30/299,235/808 is 1/52425464
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 28,62,299,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,62,299,808) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(28,62,299,808) x common factors =1 x 8 = 8
LCM(28,62,299,808) = ( 28 × 62 × 299 × 808 ) / 8
LCM(28,62,299,808) = 419403712 / 8
LCM(28,62,299,808) = 52425464
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,13,30,235?
The HCF of 9,13,30,235 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 9/28, 13/62, 30/299, 235/808?
Answer: GCF of Numerators as per given numbers 9/28, 13/62, 30/299, 235/808 is
GCF of Numerators i.e. for 9,13,30,235 is 1
LCM of denominators i.e. for 28,62,299,808 is 52425464.
Thus, GCF of Fractions is 1/52425464.Finally, GCF of Fractions for 9/28, 13/62, 30/299, 235/808 is 1/52425464.