Use our free GCF of Fractions Calculator tool to compute the GCF of 22/19, 36/24, 911/68 i.e 1/7752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/19, 36/24, 911/68.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/19,36/24,911/68
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 22/19,36/24,911/68, numerators are 22,36,911
Denominators are 19,24,68
The GCF of 22,36,911 is 1 .
LCM of 19,24,68 is 7752.
The greatest common factor of 22/19,36/24,911/68 = [GCF of 22,36,911]/[LCM of 19,24,68]= 1/7752
Therefore, the GCF of 22/19,36/24,911/68 is 1/7752.
To find the highest common factor of 22,36,911, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 911 are 1, 911
The HCF of 22,36,911 is 1.
Lets's calculate GCF of 22,36,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 911
:1,911
Greatest Common Factor
We found the factors 22,36,911 . The biggest common factor number is the GCF number.
So the greatest common factor 22,36,911 is 1.
Lets's calculate LCM of 19,24,68
2 | 19, 24, 68 |
2 | 19, 12, 34 |
19, 6, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 6 x 17 = 7752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7752
Therefore, the GCF of Fractions 22/19,36/24,911/68 is 1/7752
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 19,24,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,24,68) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(19,24,68) x common factors =1 x 4 = 4
LCM(19,24,68) = ( 19 × 24 × 68 ) / 4
LCM(19,24,68) = 31008 / 4
LCM(19,24,68) = 7752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,36,911?
The HCF of 22,36,911 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 22/19, 36/24, 911/68?
Answer: GCF of Numerators as per given numbers 22/19, 36/24, 911/68 is
GCF of Numerators i.e. for 22,36,911 is 1
LCM of denominators i.e. for 19,24,68 is 7752.
Thus, GCF of Fractions is 1/7752.Finally, GCF of Fractions for 22/19, 36/24, 911/68 is 1/7752.