Use our free GCF of Fractions Calculator tool to compute the GCF of 29/488, 53/2372 i.e 1/289384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/488, 53/2372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/488,53/2372
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 29/488,53/2372, numerators are 29,53
Denominators are 488,2372
The GCF of 29,53 is 1 .
LCM of 488,2372 is 289384.
The greatest common factor of 29/488,53/2372 = [GCF of 29,53]/[LCM of 488,2372]= 1/289384
Therefore, the GCF of 29/488,53/2372 is 1/289384.
To find the highest common factor of 29,53, 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 53 are 1, 53
The HCF of 29,53 is 1.
Lets's calculate GCF of 29,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 488,2372
2 | 488, 2372 |
2 | 244, 1186 |
122, 593 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 593 = 289384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289384
Therefore, the GCF of Fractions 29/488,53/2372 is 1/289384
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 488,2372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,2372) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,2372) x common factors =4 x 1 = 4
LCM(488,2372) = ( 488 × 2372 ) / 4
LCM(488,2372) = 1157536 / 4
LCM(488,2372) = 289384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,53?
The HCF of 29,53 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 29/488, 53/2372?
Answer: GCF of Numerators as per given numbers 29/488, 53/2372 is
GCF of Numerators i.e. for 29,53 is 1
LCM of denominators i.e. for 488,2372 is 289384.
Thus, GCF of Fractions is 1/289384.Finally, GCF of Fractions for 29/488, 53/2372 is 1/289384.