Use our free GCF of Fractions Calculator tool to compute the GCF of 24/606, 852/214, 941/460 i.e 1/14913660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/606, 852/214, 941/460.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/606,852/214,941/460
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 24/606,852/214,941/460, numerators are 24,852,941
Denominators are 606,214,460
The GCF of 24,852,941 is 1 .
LCM of 606,214,460 is 14913660.
The greatest common factor of 24/606,852/214,941/460 = [GCF of 24,852,941]/[LCM of 606,214,460]= 1/14913660
Therefore, the GCF of 24/606,852/214,941/460 is 1/14913660.
To find the highest common factor of 24,852,941, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The factors of 941 are 1, 941
The HCF of 24,852,941 is 1.
Lets's calculate GCF of 24,852,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Now, list down the factors of 941
:1,941
Greatest Common Factor
We found the factors 24,852,941 . The biggest common factor number is the GCF number.
So the greatest common factor 24,852,941 is 1.
Lets's calculate LCM of 606,214,460
2 | 606, 214, 460 |
303, 107, 230 |
∴ So the LCM of the given numbers is 2 x 303 x 107 x 230 = 14913660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14913660
Therefore, the GCF of Fractions 24/606,852/214,941/460 is 1/14913660
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 606,214,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,214,460) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(606,214,460) x common factors =2 x 2 = 4
LCM(606,214,460) = ( 606 × 214 × 460 ) / 4
LCM(606,214,460) = 59654640 / 4
LCM(606,214,460) = 14913660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 24,852,941?
The HCF of 24,852,941 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 24/606, 852/214, 941/460?
Answer: GCF of Numerators as per given numbers 24/606, 852/214, 941/460 is
GCF of Numerators i.e. for 24,852,941 is 1
LCM of denominators i.e. for 606,214,460 is 14913660.
Thus, GCF of Fractions is 1/14913660.Finally, GCF of Fractions for 24/606, 852/214, 941/460 is 1/14913660.