Use our free GCF of Fractions Calculator tool to compute the GCF of 29/184, 21/379 i.e 1/69736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/184, 21/379.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/184,21/379
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 29/184,21/379, numerators are 29,21
Denominators are 184,379
The GCF of 29,21 is 1 .
LCM of 184,379 is 69736.
The greatest common factor of 29/184,21/379 = [GCF of 29,21]/[LCM of 184,379]= 1/69736
Therefore, the GCF of 29/184,21/379 is 1/69736.
To find the highest common factor of 29,21, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 21 are 1, 3, 7, 21
The HCF of 29,21 is 1.
Lets's calculate GCF of 29,21
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 184,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 69736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69736
Therefore, the GCF of Fractions 29/184,21/379 is 1/69736
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 184,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,379) x common factors =1 x 1 = 1
LCM(184,379) = ( 184 × 379 ) / 1
LCM(184,379) = 69736 / 1
LCM(184,379) = 69736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,21?
The HCF of 29,21 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 29/184, 21/379?
Answer: GCF of Numerators as per given numbers 29/184, 21/379 is
GCF of Numerators i.e. for 29,21 is 1
LCM of denominators i.e. for 184,379 is 69736.
Thus, GCF of Fractions is 1/69736.Finally, GCF of Fractions for 29/184, 21/379 is 1/69736.