Use our free GCF of Fractions Calculator tool to compute the GCF of 22/142, 13/184 i.e 1/13064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/142, 13/184.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/142,13/184
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 22/142,13/184, numerators are 22,13
Denominators are 142,184
The GCF of 22,13 is 1 .
LCM of 142,184 is 13064.
The greatest common factor of 22/142,13/184 = [GCF of 22,13]/[LCM of 142,184]= 1/13064
Therefore, the GCF of 22/142,13/184 is 1/13064.
To find the highest common factor of 22,13, 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 13 are 1, 13
The HCF of 22,13 is 1.
Lets's calculate GCF of 22,13
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 142,184
2 | 142, 184 |
71, 92 |
∴ So the LCM of the given numbers is 2 x 71 x 92 = 13064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13064
Therefore, the GCF of Fractions 22/142,13/184 is 1/13064
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 142,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,184) x common factors =2 x 1 = 2
LCM(142,184) = ( 142 × 184 ) / 2
LCM(142,184) = 26128 / 2
LCM(142,184) = 13064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,13?
The HCF of 22,13 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 22/142, 13/184?
Answer: GCF of Numerators as per given numbers 22/142, 13/184 is
GCF of Numerators i.e. for 22,13 is 1
LCM of denominators i.e. for 142,184 is 13064.
Thus, GCF of Fractions is 1/13064.Finally, GCF of Fractions for 22/142, 13/184 is 1/13064.