Use our free GCF of Fractions Calculator tool to compute the GCF of 36/605, 41/488, 476/208 i.e 1/7676240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/605, 41/488, 476/208.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/605,41/488,476/208
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 36/605,41/488,476/208, numerators are 36,41,476
Denominators are 605,488,208
The GCF of 36,41,476 is 1 .
LCM of 605,488,208 is 7676240.
The greatest common factor of 36/605,41/488,476/208 = [GCF of 36,41,476]/[LCM of 605,488,208]= 1/7676240
Therefore, the GCF of 36/605,41/488,476/208 is 1/7676240.
To find the highest common factor of 36,41,476, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 41 are 1, 41
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The HCF of 36,41,476 is 1.
Lets's calculate GCF of 36,41,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 41
:1,41
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 36,41,476 . The biggest common factor number is the GCF number.
So the greatest common factor 36,41,476 is 1.
Lets's calculate LCM of 605,488,208
2 | 605, 488, 208 |
2 | 605, 244, 104 |
2 | 605, 122, 52 |
605, 61, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 605 x 61 x 26 = 7676240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7676240
Therefore, the GCF of Fractions 36/605,41/488,476/208 is 1/7676240
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 605,488,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,488,208) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(605,488,208) x common factors =1 x 8 = 8
LCM(605,488,208) = ( 605 × 488 × 208 ) / 8
LCM(605,488,208) = 61409920 / 8
LCM(605,488,208) = 7676240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,41,476?
The HCF of 36,41,476 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 36/605, 41/488, 476/208?
Answer: GCF of Numerators as per given numbers 36/605, 41/488, 476/208 is
GCF of Numerators i.e. for 36,41,476 is 1
LCM of denominators i.e. for 605,488,208 is 7676240.
Thus, GCF of Fractions is 1/7676240.Finally, GCF of Fractions for 36/605, 41/488, 476/208 is 1/7676240.